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Finding the Fourth Proportional to 17,641.32, 24,345.30 and 9,684.28

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Solution

The fourth proportional to 17,641.32, 24,345.30 and 9,684.28 is: 13,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.32 : 24,345.30 = 9,684.28 : x
  2. Step 2: Convert to fraction form
    17,641.32/24,345.30 = 9,684.28/x
  3. Step 3: Cross multiply
    17,641.32x = 24,345.30 × 9,684.28
  4. Step 4: Simplify right side
    17,641.32x = 235,766,701.88
  5. Step 5: Solve for x
    x = 235,766,701.88/17,641.32
  6. Step 6: Final answer
    x = 13,364.46

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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.