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Finding the Fourth Proportional to 12,451.86, 18,671.70 and 4,129.08

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Solution

The fourth proportional to 12,451.86, 18,671.70 and 4,129.08 is: 6,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.86 : 18,671.70 = 4,129.08 : x
  2. Step 2: Convert to fraction form
    12,451.86/18,671.70 = 4,129.08/x
  3. Step 3: Cross multiply
    12,451.86x = 18,671.70 × 4,129.08
  4. Step 4: Simplify right side
    12,451.86x = 77,096,943.04
  5. Step 5: Solve for x
    x = 77,096,943.04/12,451.86
  6. Step 6: Final answer
    x = 6,191.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.