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Finding the Fourth Proportional to 17,641.48, 24,345.15 and 9,683.84

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Solution

The fourth proportional to 17,641.48, 24,345.15 and 9,683.84 is: 13,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.48 : 24,345.15 = 9,683.84 : x
  2. Step 2: Convert to fraction form
    17,641.48/24,345.15 = 9,683.84/x
  3. Step 3: Cross multiply
    17,641.48x = 24,345.15 × 9,683.84
  4. Step 4: Simplify right side
    17,641.48x = 235,754,537.38
  5. Step 5: Solve for x
    x = 235,754,537.38/17,641.48
  6. Step 6: Final answer
    x = 13,363.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.