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Finding the Fourth Proportional to 14,331.53, 19,777.13 and 7,957.96

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Solution

The fourth proportional to 14,331.53, 19,777.13 and 7,957.96 is: 10,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.53 : 19,777.13 = 7,957.96 : x
  2. Step 2: Convert to fraction form
    14,331.53/19,777.13 = 7,957.96/x
  3. Step 3: Cross multiply
    14,331.53x = 19,777.13 × 7,957.96
  4. Step 4: Simplify right side
    14,331.53x = 157,385,510.57
  5. Step 5: Solve for x
    x = 157,385,510.57/14,331.53
  6. Step 6: Final answer
    x = 10,981.77

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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.