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Finding the Fourth Proportional to 17,671.29, 24,386.10 and 9,713.35

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Solution

The fourth proportional to 17,671.29, 24,386.10 and 9,713.35 is: 13,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.29 : 24,386.10 = 9,713.35 : x
  2. Step 2: Convert to fraction form
    17,671.29/24,386.10 = 9,713.35/x
  3. Step 3: Cross multiply
    17,671.29x = 24,386.10 × 9,713.35
  4. Step 4: Simplify right side
    17,671.29x = 236,870,724.44
  5. Step 5: Solve for x
    x = 236,870,724.44/17,671.29
  6. Step 6: Final answer
    x = 13,404.27

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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.