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Finding the Fourth Proportional to 17,641.24, 24,345.19 and 9,684.19

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Solution

The fourth proportional to 17,641.24, 24,345.19 and 9,684.19 is: 13,364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.24 : 24,345.19 = 9,684.19 : x
  2. Step 2: Convert to fraction form
    17,641.24/24,345.19 = 9,684.19/x
  3. Step 3: Cross multiply
    17,641.24x = 24,345.19 × 9,684.19
  4. Step 4: Simplify right side
    17,641.24x = 235,763,360.47
  5. Step 5: Solve for x
    x = 235,763,360.47/17,641.24
  6. Step 6: Final answer
    x = 13,364.33

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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.