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Finding the Fourth Proportional to 17,670.12, 24,385.05 and 10,116.42

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Solution

The fourth proportional to 17,670.12, 24,385.05 and 10,116.42 is: 13,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.12 : 24,385.05 = 10,116.42 : x
  2. Step 2: Convert to fraction form
    17,670.12/24,385.05 = 10,116.42/x
  3. Step 3: Cross multiply
    17,670.12x = 24,385.05 × 10,116.42
  4. Step 4: Simplify right side
    17,670.12x = 246,689,407.52
  5. Step 5: Solve for x
    x = 246,689,407.52/17,670.12
  6. Step 6: Final answer
    x = 13,960.82

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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.