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Finding the Fourth Proportional to 17,647.72, 24,354.06 and 9,689.80

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Solution

The fourth proportional to 17,647.72, 24,354.06 and 9,689.80 is: 13,372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.72 : 24,354.06 = 9,689.80 : x
  2. Step 2: Convert to fraction form
    17,647.72/24,354.06 = 9,689.80/x
  3. Step 3: Cross multiply
    17,647.72x = 24,354.06 × 9,689.80
  4. Step 4: Simplify right side
    17,647.72x = 235,985,970.59
  5. Step 5: Solve for x
    x = 235,985,970.59/17,647.72
  6. Step 6: Final answer
    x = 13,372.04

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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.