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Finding the Fourth Proportional to 12,101.13, 18,152.81 and 4,706.14

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Solution

The fourth proportional to 12,101.13, 18,152.81 and 4,706.14 is: 7,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.13 : 18,152.81 = 4,706.14 : x
  2. Step 2: Convert to fraction form
    12,101.13/18,152.81 = 4,706.14/x
  3. Step 3: Cross multiply
    12,101.13x = 18,152.81 × 4,706.14
  4. Step 4: Simplify right side
    12,101.13x = 85,429,665.25
  5. Step 5: Solve for x
    x = 85,429,665.25/12,101.13
  6. Step 6: Final answer
    x = 7,059.64

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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.