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Finding the Fourth Proportional to 12,106.13, 18,159.86 and 4,314.94

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Solution

The fourth proportional to 12,106.13, 18,159.86 and 4,314.94 is: 6,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.13 : 18,159.86 = 4,314.94 : x
  2. Step 2: Convert to fraction form
    12,106.13/18,159.86 = 4,314.94/x
  3. Step 3: Cross multiply
    12,106.13x = 18,159.86 × 4,314.94
  4. Step 4: Simplify right side
    12,106.13x = 78,358,671.70
  5. Step 5: Solve for x
    x = 78,358,671.70/12,106.13
  6. Step 6: Final answer
    x = 6,472.65

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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.