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Finding the Fourth Proportional to 12,097.71, 18,149.13 and 4,306.50

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Solution

The fourth proportional to 12,097.71, 18,149.13 and 4,306.50 is: 6,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.71 : 18,149.13 = 4,306.50 : x
  2. Step 2: Convert to fraction form
    12,097.71/18,149.13 = 4,306.50/x
  3. Step 3: Cross multiply
    12,097.71x = 18,149.13 × 4,306.50
  4. Step 4: Simplify right side
    12,097.71x = 78,159,228.35
  5. Step 5: Solve for x
    x = 78,159,228.35/12,097.71
  6. Step 6: Final answer
    x = 6,460.66

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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.