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Finding the Fourth Proportional to 17,641.59, 24,345.53 and 9,684.55

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Solution

The fourth proportional to 17,641.59, 24,345.53 and 9,684.55 is: 13,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.59 : 24,345.53 = 9,684.55 : x
  2. Step 2: Convert to fraction form
    17,641.59/24,345.53 = 9,684.55/x
  3. Step 3: Cross multiply
    17,641.59x = 24,345.53 × 9,684.55
  4. Step 4: Simplify right side
    17,641.59x = 235,775,502.56
  5. Step 5: Solve for x
    x = 235,775,502.56/17,641.59
  6. Step 6: Final answer
    x = 13,364.75

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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.