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Finding the Fourth Proportional to 12,284.48, 18,432.48 and 5,360.96

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Solution

The fourth proportional to 12,284.48, 18,432.48 and 5,360.96 is: 8,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.48 : 18,432.48 = 5,360.96 : x
  2. Step 2: Convert to fraction form
    12,284.48/18,432.48 = 5,360.96/x
  3. Step 3: Cross multiply
    12,284.48x = 18,432.48 × 5,360.96
  4. Step 4: Simplify right side
    12,284.48x = 98,815,787.98
  5. Step 5: Solve for x
    x = 98,815,787.98/12,284.48
  6. Step 6: Final answer
    x = 8,043.95

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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.