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Finding the Fourth Proportional to 19,716, 29,572.92 and 8,039.04

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Solution

The fourth proportional to 19,716, 29,572.92 and 8,039.04 is: 12,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716 : 29,572.92 = 8,039.04 : x
  2. Step 2: Convert to fraction form
    19,716/29,572.92 = 8,039.04/x
  3. Step 3: Cross multiply
    19,716x = 29,572.92 × 8,039.04
  4. Step 4: Simplify right side
    19,716x = 237,737,886.80
  5. Step 5: Solve for x
    x = 237,737,886.80/19,716
  6. Step 6: Final answer
    x = 12,058.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.