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Finding the Fourth Proportional to 17,671.32, 24,386.24 and 9,713.66

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Solution

The fourth proportional to 17,671.32, 24,386.24 and 9,713.66 is: 13,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.32 : 24,386.24 = 9,713.66 : x
  2. Step 2: Convert to fraction form
    17,671.32/24,386.24 = 9,713.66/x
  3. Step 3: Cross multiply
    17,671.32x = 24,386.24 × 9,713.66
  4. Step 4: Simplify right side
    17,671.32x = 236,879,644.04
  5. Step 5: Solve for x
    x = 236,879,644.04/17,671.32
  6. Step 6: Final answer
    x = 13,404.75

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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.