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Finding the Fourth Proportional to 15,107.01, 20,823.42 and 10,260.24

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Solution

The fourth proportional to 15,107.01, 20,823.42 and 10,260.24 is: 14,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.01 : 20,823.42 = 10,260.24 : x
  2. Step 2: Convert to fraction form
    15,107.01/20,823.42 = 10,260.24/x
  3. Step 3: Cross multiply
    15,107.01x = 20,823.42 × 10,260.24
  4. Step 4: Simplify right side
    15,107.01x = 213,653,286.82
  5. Step 5: Solve for x
    x = 213,653,286.82/15,107.01
  6. Step 6: Final answer
    x = 14,142.66

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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.