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Finding the Fourth Proportional to 17,686.74, 24,408.34 and 9,729.57

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Solution

The fourth proportional to 17,686.74, 24,408.34 and 9,729.57 is: 13,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.74 : 24,408.34 = 9,729.57 : x
  2. Step 2: Convert to fraction form
    17,686.74/24,408.34 = 9,729.57/x
  3. Step 3: Cross multiply
    17,686.74x = 24,408.34 × 9,729.57
  4. Step 4: Simplify right side
    17,686.74x = 237,482,652.61
  5. Step 5: Solve for x
    x = 237,482,652.61/17,686.74
  6. Step 6: Final answer
    x = 13,427.16

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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.