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Finding the Fourth Proportional to 17,676.60, 24,394.14 and 9,718.98

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Solution

The fourth proportional to 17,676.60, 24,394.14 and 9,718.98 is: 13,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.60 : 24,394.14 = 9,718.98 : x
  2. Step 2: Convert to fraction form
    17,676.60/24,394.14 = 9,718.98/x
  3. Step 3: Cross multiply
    17,676.60x = 24,394.14 × 9,718.98
  4. Step 4: Simplify right side
    17,676.60x = 237,086,158.78
  5. Step 5: Solve for x
    x = 237,086,158.78/17,676.60
  6. Step 6: Final answer
    x = 13,412.43

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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.