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Finding the Fourth Proportional to 18,106.90, 24,986.13 and 10,147.58

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Solution

The fourth proportional to 18,106.90, 24,986.13 and 10,147.58 is: 14,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,106.90 : 24,986.13 = 10,147.58 : x
  2. Step 2: Convert to fraction form
    18,106.90/24,986.13 = 10,147.58/x
  3. Step 3: Cross multiply
    18,106.90x = 24,986.13 × 10,147.58
  4. Step 4: Simplify right side
    18,106.90x = 253,548,753.07
  5. Step 5: Solve for x
    x = 253,548,753.07/18,106.90
  6. Step 6: Final answer
    x = 14,002.88

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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.