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Finding the Fourth Proportional to 15,813.72, 21,832.99 and 9,854.14

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Solution

The fourth proportional to 15,813.72, 21,832.99 and 9,854.14 is: 13,604.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.72 : 21,832.99 = 9,854.14 : x
  2. Step 2: Convert to fraction form
    15,813.72/21,832.99 = 9,854.14/x
  3. Step 3: Cross multiply
    15,813.72x = 21,832.99 × 9,854.14
  4. Step 4: Simplify right side
    15,813.72x = 215,145,340.08
  5. Step 5: Solve for x
    x = 215,145,340.08/15,813.72
  6. Step 6: Final answer
    x = 13,604.98

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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.