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Finding the Fourth Proportional to 12,070.38, 16,661.76 and 11,737.46

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Solution

The fourth proportional to 12,070.38, 16,661.76 and 11,737.46 is: 16,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070.38 : 16,661.76 = 11,737.46 : x
  2. Step 2: Convert to fraction form
    12,070.38/16,661.76 = 11,737.46/x
  3. Step 3: Cross multiply
    12,070.38x = 16,661.76 × 11,737.46
  4. Step 4: Simplify right side
    12,070.38x = 195,566,741.53
  5. Step 5: Solve for x
    x = 195,566,741.53/12,070.38
  6. Step 6: Final answer
    x = 16,202.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.