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Finding the Fourth Proportional to 14,024.32, 19,353.68 and 7,737.12

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Solution

The fourth proportional to 14,024.32, 19,353.68 and 7,737.12 is: 10,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.32 : 19,353.68 = 7,737.12 : x
  2. Step 2: Convert to fraction form
    14,024.32/19,353.68 = 7,737.12/x
  3. Step 3: Cross multiply
    14,024.32x = 19,353.68 × 7,737.12
  4. Step 4: Simplify right side
    14,024.32x = 149,741,744.60
  5. Step 5: Solve for x
    x = 149,741,744.60/14,024.32
  6. Step 6: Final answer
    x = 10,677.29

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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.