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Finding the Fourth Proportional to 24,142.71, 36,224.06 and 13,036.34

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Solution

The fourth proportional to 24,142.71, 36,224.06 and 13,036.34 is: 19,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.71 : 36,224.06 = 13,036.34 : x
  2. Step 2: Convert to fraction form
    24,142.71/36,224.06 = 13,036.34/x
  3. Step 3: Cross multiply
    24,142.71x = 36,224.06 × 13,036.34
  4. Step 4: Simplify right side
    24,142.71x = 472,228,916.04
  5. Step 5: Solve for x
    x = 472,228,916.04/24,142.71
  6. Step 6: Final answer
    x = 19,559.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.