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Finding the Fourth Proportional to 17,543.54, 24,209.81 and 9,585.60

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Solution

The fourth proportional to 17,543.54, 24,209.81 and 9,585.60 is: 13,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,543.54 : 24,209.81 = 9,585.60 : x
  2. Step 2: Convert to fraction form
    17,543.54/24,209.81 = 9,585.60/x
  3. Step 3: Cross multiply
    17,543.54x = 24,209.81 × 9,585.60
  4. Step 4: Simplify right side
    17,543.54x = 232,065,506.81
  5. Step 5: Solve for x
    x = 232,065,506.81/17,543.54
  6. Step 6: Final answer
    x = 13,227.97

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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.