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Finding the Fourth Proportional to 17,670, 24,384.88 and 10,116.30

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Solution

The fourth proportional to 17,670, 24,384.88 and 10,116.30 is: 13,960.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670 : 24,384.88 = 10,116.30 : x
  2. Step 2: Convert to fraction form
    17,670/24,384.88 = 10,116.30/x
  3. Step 3: Cross multiply
    17,670x = 24,384.88 × 10,116.30
  4. Step 4: Simplify right side
    17,670x = 246,684,761.54
  5. Step 5: Solve for x
    x = 246,684,761.54/17,670
  6. Step 6: Final answer
    x = 13,960.65

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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.