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Finding the Fourth Proportional to 16,625.50, 24,938.22 and 9,695.14

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Solution

The fourth proportional to 16,625.50, 24,938.22 and 9,695.14 is: 14,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,625.50 : 24,938.22 = 9,695.14 : x
  2. Step 2: Convert to fraction form
    16,625.50/24,938.22 = 9,695.14/x
  3. Step 3: Cross multiply
    16,625.50x = 24,938.22 × 9,695.14
  4. Step 4: Simplify right side
    16,625.50x = 241,779,534.25
  5. Step 5: Solve for x
    x = 241,779,534.25/16,625.50
  6. Step 6: Final answer
    x = 14,542.69

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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.