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Finding the Fourth Proportional to 22,505.20, 31,058.99 and 12,434.52

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Solution

The fourth proportional to 22,505.20, 31,058.99 and 12,434.52 is: 17,160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.20 : 31,058.99 = 12,434.52 : x
  2. Step 2: Convert to fraction form
    22,505.20/31,058.99 = 12,434.52/x
  3. Step 3: Cross multiply
    22,505.20x = 31,058.99 × 12,434.52
  4. Step 4: Simplify right side
    22,505.20x = 386,203,663.42
  5. Step 5: Solve for x
    x = 386,203,663.42/22,505.20
  6. Step 6: Final answer
    x = 17,160.64

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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.