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Finding the Fourth Proportional to 17,543.29, 24,209.87 and 9,585.51

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Solution

The fourth proportional to 17,543.29, 24,209.87 and 9,585.51 is: 13,228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,543.29 : 24,209.87 = 9,585.51 : x
  2. Step 2: Convert to fraction form
    17,543.29/24,209.87 = 9,585.51/x
  3. Step 3: Cross multiply
    17,543.29x = 24,209.87 × 9,585.51
  4. Step 4: Simplify right side
    17,543.29x = 232,063,950.98
  5. Step 5: Solve for x
    x = 232,063,950.98/17,543.29
  6. Step 6: Final answer
    x = 13,228.07

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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.