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Finding the Fourth Proportional to 22,502.28, 31,057.86 and 14,949.24

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Solution

The fourth proportional to 22,502.28, 31,057.86 and 14,949.24 is: 20,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.28 : 31,057.86 = 14,949.24 : x
  2. Step 2: Convert to fraction form
    22,502.28/31,057.86 = 14,949.24/x
  3. Step 3: Cross multiply
    22,502.28x = 31,057.86 × 14,949.24
  4. Step 4: Simplify right side
    22,502.28x = 464,291,403.03
  5. Step 5: Solve for x
    x = 464,291,403.03/22,502.28
  6. Step 6: Final answer
    x = 20,633.08

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