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Finding the Fourth Proportional to 12,140.70, 16,755.45 and 7,106.55

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Solution

The fourth proportional to 12,140.70, 16,755.45 and 7,106.55 is: 9,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.70 : 16,755.45 = 7,106.55 : x
  2. Step 2: Convert to fraction form
    12,140.70/16,755.45 = 7,106.55/x
  3. Step 3: Cross multiply
    12,140.70x = 16,755.45 × 7,106.55
  4. Step 4: Simplify right side
    12,140.70x = 119,073,353.72
  5. Step 5: Solve for x
    x = 119,073,353.72/12,140.70
  6. Step 6: Final answer
    x = 9,807.79

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