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Finding the Fourth Proportional to 12,583.76, 18,872.71 and 5,559.93

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Solution

The fourth proportional to 12,583.76, 18,872.71 and 5,559.93 is: 8,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.76 : 18,872.71 = 5,559.93 : x
  2. Step 2: Convert to fraction form
    12,583.76/18,872.71 = 5,559.93/x
  3. Step 3: Cross multiply
    12,583.76x = 18,872.71 × 5,559.93
  4. Step 4: Simplify right side
    12,583.76x = 104,930,932.61
  5. Step 5: Solve for x
    x = 104,930,932.61/12,583.76
  6. Step 6: Final answer
    x = 8,338.60

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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.