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Finding the Fourth Proportional to 17,671.10, 24,385.57 and 9,713.30

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Solution

The fourth proportional to 17,671.10, 24,385.57 and 9,713.30 is: 13,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.10 : 24,385.57 = 9,713.30 : x
  2. Step 2: Convert to fraction form
    17,671.10/24,385.57 = 9,713.30/x
  3. Step 3: Cross multiply
    17,671.10x = 24,385.57 × 9,713.30
  4. Step 4: Simplify right side
    17,671.10x = 236,864,210.87
  5. Step 5: Solve for x
    x = 236,864,210.87/17,671.10
  6. Step 6: Final answer
    x = 13,404.05

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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.