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Finding the Fourth Proportional to 13,424.71, 20,142.50 and 6,024.01

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Solution

The fourth proportional to 13,424.71, 20,142.50 and 6,024.01 is: 9,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.71 : 20,142.50 = 6,024.01 : x
  2. Step 2: Convert to fraction form
    13,424.71/20,142.50 = 6,024.01/x
  3. Step 3: Cross multiply
    13,424.71x = 20,142.50 × 6,024.01
  4. Step 4: Simplify right side
    13,424.71x = 121,338,591.30
  5. Step 5: Solve for x
    x = 121,338,591.30/13,424.71
  6. Step 6: Final answer
    x = 9,038.45

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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.