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Finding the Fourth Proportional to 17,647.50, 24,353.70 and 9,689.52

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Solution

The fourth proportional to 17,647.50, 24,353.70 and 9,689.52 is: 13,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.50 : 24,353.70 = 9,689.52 : x
  2. Step 2: Convert to fraction form
    17,647.50/24,353.70 = 9,689.52/x
  3. Step 3: Cross multiply
    17,647.50x = 24,353.70 × 9,689.52
  4. Step 4: Simplify right side
    17,647.50x = 235,975,663.22
  5. Step 5: Solve for x
    x = 235,975,663.22/17,647.50
  6. Step 6: Final answer
    x = 13,371.62

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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.