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Finding the Fourth Proportional to 12,663, 19,002.06 and 5,737.50

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Solution

The fourth proportional to 12,663, 19,002.06 and 5,737.50 is: 8,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663 : 19,002.06 = 5,737.50 : x
  2. Step 2: Convert to fraction form
    12,663/19,002.06 = 5,737.50/x
  3. Step 3: Cross multiply
    12,663x = 19,002.06 × 5,737.50
  4. Step 4: Simplify right side
    12,663x = 109,024,319.25
  5. Step 5: Solve for x
    x = 109,024,319.25/12,663
  6. Step 6: Final answer
    x = 8,609.68

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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.