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Finding the Fourth Proportional to 17,543.12, 24,209.84 and 9,585.68

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Solution

The fourth proportional to 17,543.12, 24,209.84 and 9,585.68 is: 13,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,543.12 : 24,209.84 = 9,585.68 : x
  2. Step 2: Convert to fraction form
    17,543.12/24,209.84 = 9,585.68/x
  3. Step 3: Cross multiply
    17,543.12x = 24,209.84 × 9,585.68
  4. Step 4: Simplify right side
    17,543.12x = 232,067,779.09
  5. Step 5: Solve for x
    x = 232,067,779.09/17,543.12
  6. Step 6: Final answer
    x = 13,228.42

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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.