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Finding the Fourth Proportional to 14,110.48, 19,472.68 and 7,737.65

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Solution

The fourth proportional to 14,110.48, 19,472.68 and 7,737.65 is: 10,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.48 : 19,472.68 = 7,737.65 : x
  2. Step 2: Convert to fraction form
    14,110.48/19,472.68 = 7,737.65/x
  3. Step 3: Cross multiply
    14,110.48x = 19,472.68 × 7,737.65
  4. Step 4: Simplify right side
    14,110.48x = 150,672,782.40
  5. Step 5: Solve for x
    x = 150,672,782.40/14,110.48
  6. Step 6: Final answer
    x = 10,678.08

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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.