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Finding the Fourth Proportional to 14,111.28, 19,472.94 and 7,737.93

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Solution

The fourth proportional to 14,111.28, 19,472.94 and 7,737.93 is: 10,678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.28 : 19,472.94 = 7,737.93 : x
  2. Step 2: Convert to fraction form
    14,111.28/19,472.94 = 7,737.93/x
  3. Step 3: Cross multiply
    14,111.28x = 19,472.94 × 7,737.93
  4. Step 4: Simplify right side
    14,111.28x = 150,680,246.61
  5. Step 5: Solve for x
    x = 150,680,246.61/14,111.28
  6. Step 6: Final answer
    x = 10,678.00

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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.