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Finding the Fourth Proportional to 12,310.56, 18,449.76 and 7,037.40

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Solution

The fourth proportional to 12,310.56, 18,449.76 and 7,037.40 is: 10,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.56 : 18,449.76 = 7,037.40 : x
  2. Step 2: Convert to fraction form
    12,310.56/18,449.76 = 7,037.40/x
  3. Step 3: Cross multiply
    12,310.56x = 18,449.76 × 7,037.40
  4. Step 4: Simplify right side
    12,310.56x = 129,838,341.02
  5. Step 5: Solve for x
    x = 129,838,341.02/12,310.56
  6. Step 6: Final answer
    x = 10,546.91

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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.