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Finding the Fourth Proportional to 17,641.46, 24,345.40 and 9,683.52

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Solution

The fourth proportional to 17,641.46, 24,345.40 and 9,683.52 is: 13,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.46 : 24,345.40 = 9,683.52 : x
  2. Step 2: Convert to fraction form
    17,641.46/24,345.40 = 9,683.52/x
  3. Step 3: Cross multiply
    17,641.46x = 24,345.40 × 9,683.52
  4. Step 4: Simplify right side
    17,641.46x = 235,749,167.81
  5. Step 5: Solve for x
    x = 235,749,167.81/17,641.46
  6. Step 6: Final answer
    x = 13,363.36

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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.