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Finding the Fourth Proportional to 17,645.62, 24,351 and 9,688.36

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Solution

The fourth proportional to 17,645.62, 24,351 and 9,688.36 is: 13,369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,645.62 : 24,351 = 9,688.36 : x
  2. Step 2: Convert to fraction form
    17,645.62/24,351 = 9,688.36/x
  3. Step 3: Cross multiply
    17,645.62x = 24,351 × 9,688.36
  4. Step 4: Simplify right side
    17,645.62x = 235,921,254.36
  5. Step 5: Solve for x
    x = 235,921,254.36/17,645.62
  6. Step 6: Final answer
    x = 13,369.96

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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.