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Finding the Fourth Proportional to 12,102.10, 18,159.60 and 4,706.80

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Solution

The fourth proportional to 12,102.10, 18,159.60 and 4,706.80 is: 7,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.10 : 18,159.60 = 4,706.80 : x
  2. Step 2: Convert to fraction form
    12,102.10/18,159.60 = 4,706.80/x
  3. Step 3: Cross multiply
    12,102.10x = 18,159.60 × 4,706.80
  4. Step 4: Simplify right side
    12,102.10x = 85,473,605.28
  5. Step 5: Solve for x
    x = 85,473,605.28/12,102.10
  6. Step 6: Final answer
    x = 7,062.71

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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.