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Finding the Fourth Proportional to 17,671.95, 24,387.12 and 9,714.31

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Solution

The fourth proportional to 17,671.95, 24,387.12 and 9,714.31 is: 13,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.95 : 24,387.12 = 9,714.31 : x
  2. Step 2: Convert to fraction form
    17,671.95/24,387.12 = 9,714.31/x
  3. Step 3: Cross multiply
    17,671.95x = 24,387.12 × 9,714.31
  4. Step 4: Simplify right side
    17,671.95x = 236,903,982.72
  5. Step 5: Solve for x
    x = 236,903,982.72/17,671.95
  6. Step 6: Final answer
    x = 13,405.65

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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.