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Finding the Fourth Proportional to 12,106.70, 18,160.05 and 3,342.30

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Solution

The fourth proportional to 12,106.70, 18,160.05 and 3,342.30 is: 5,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.70 : 18,160.05 = 3,342.30 : x
  2. Step 2: Convert to fraction form
    12,106.70/18,160.05 = 3,342.30/x
  3. Step 3: Cross multiply
    12,106.70x = 18,160.05 × 3,342.30
  4. Step 4: Simplify right side
    12,106.70x = 60,696,335.12
  5. Step 5: Solve for x
    x = 60,696,335.12/12,106.70
  6. Step 6: Final answer
    x = 5,013.45

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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.