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Finding the Fourth Proportional to 17,641.98, 24,346.04 and 9,684.27

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Solution

The fourth proportional to 17,641.98, 24,346.04 and 9,684.27 is: 13,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.98 : 24,346.04 = 9,684.27 : x
  2. Step 2: Convert to fraction form
    17,641.98/24,346.04 = 9,684.27/x
  3. Step 3: Cross multiply
    17,641.98x = 24,346.04 × 9,684.27
  4. Step 4: Simplify right side
    17,641.98x = 235,773,576.37
  5. Step 5: Solve for x
    x = 235,773,576.37/17,641.98
  6. Step 6: Final answer
    x = 13,364.35

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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.