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Finding the Fourth Proportional to 17,641.80, 24,346.56 and 9,683.96

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Solution

The fourth proportional to 17,641.80, 24,346.56 and 9,683.96 is: 13,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.80 : 24,346.56 = 9,683.96 : x
  2. Step 2: Convert to fraction form
    17,641.80/24,346.56 = 9,683.96/x
  3. Step 3: Cross multiply
    17,641.80x = 24,346.56 × 9,683.96
  4. Step 4: Simplify right side
    17,641.80x = 235,771,113.18
  5. Step 5: Solve for x
    x = 235,771,113.18/17,641.80
  6. Step 6: Final answer
    x = 13,364.35

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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.