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Finding the Fourth Proportional to 17,683.65, 24,402.95 and 9,725.88

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Solution

The fourth proportional to 17,683.65, 24,402.95 and 9,725.88 is: 13,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.65 : 24,402.95 = 9,725.88 : x
  2. Step 2: Convert to fraction form
    17,683.65/24,402.95 = 9,725.88/x
  3. Step 3: Cross multiply
    17,683.65x = 24,402.95 × 9,725.88
  4. Step 4: Simplify right side
    17,683.65x = 237,340,163.35
  5. Step 5: Solve for x
    x = 237,340,163.35/17,683.65
  6. Step 6: Final answer
    x = 13,421.45

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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.