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Finding the Fourth Proportional to 12,296.24, 18,432.84 and 4,499

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Solution

The fourth proportional to 12,296.24, 18,432.84 and 4,499 is: 6,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.24 : 18,432.84 = 4,499 : x
  2. Step 2: Convert to fraction form
    12,296.24/18,432.84 = 4,499/x
  3. Step 3: Cross multiply
    12,296.24x = 18,432.84 × 4,499
  4. Step 4: Simplify right side
    12,296.24x = 82,929,347.16
  5. Step 5: Solve for x
    x = 82,929,347.16/12,296.24
  6. Step 6: Final answer
    x = 6,744.29

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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.