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Finding the Fourth Proportional to 14,024.50, 19,353.83 and 7,737.30

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Solution

The fourth proportional to 14,024.50, 19,353.83 and 7,737.30 is: 10,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.50 : 19,353.83 = 7,737.30 : x
  2. Step 2: Convert to fraction form
    14,024.50/19,353.83 = 7,737.30/x
  3. Step 3: Cross multiply
    14,024.50x = 19,353.83 × 7,737.30
  4. Step 4: Simplify right side
    14,024.50x = 149,746,388.86
  5. Step 5: Solve for x
    x = 149,746,388.86/14,024.50
  6. Step 6: Final answer
    x = 10,677.49

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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.