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Finding the Fourth Proportional to 17,657.31, 24,367.14 and 9,699.69

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Solution

The fourth proportional to 17,657.31, 24,367.14 and 9,699.69 is: 13,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.31 : 24,367.14 = 9,699.69 : x
  2. Step 2: Convert to fraction form
    17,657.31/24,367.14 = 9,699.69/x
  3. Step 3: Cross multiply
    17,657.31x = 24,367.14 × 9,699.69
  4. Step 4: Simplify right side
    17,657.31x = 236,353,704.19
  5. Step 5: Solve for x
    x = 236,353,704.19/17,657.31
  6. Step 6: Final answer
    x = 13,385.60

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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.