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Finding the Fourth Proportional to 15,807, 21,813.96 and 10,227.72

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Solution

The fourth proportional to 15,807, 21,813.96 and 10,227.72 is: 14,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807 : 21,813.96 = 10,227.72 : x
  2. Step 2: Convert to fraction form
    15,807/21,813.96 = 10,227.72/x
  3. Step 3: Cross multiply
    15,807x = 21,813.96 × 10,227.72
  4. Step 4: Simplify right side
    15,807x = 223,107,074.97
  5. Step 5: Solve for x
    x = 223,107,074.97/15,807
  6. Step 6: Final answer
    x = 14,114.45

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.