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Finding the Fourth Proportional to 12,364.61, 18,505.61 and 7,350.71

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Solution

The fourth proportional to 12,364.61, 18,505.61 and 7,350.71 is: 11,001.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.61 : 18,505.61 = 7,350.71 : x
  2. Step 2: Convert to fraction form
    12,364.61/18,505.61 = 7,350.71/x
  3. Step 3: Cross multiply
    12,364.61x = 18,505.61 × 7,350.71
  4. Step 4: Simplify right side
    12,364.61x = 136,029,335.73
  5. Step 5: Solve for x
    x = 136,029,335.73/12,364.61
  6. Step 6: Final answer
    x = 11,001.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.