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Finding the Fourth Proportional to 16,306.45, 24,447.72 and 5,206.74

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Solution

The fourth proportional to 16,306.45, 24,447.72 and 5,206.74 is: 7,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.45 : 24,447.72 = 5,206.74 : x
  2. Step 2: Convert to fraction form
    16,306.45/24,447.72 = 5,206.74/x
  3. Step 3: Cross multiply
    16,306.45x = 24,447.72 × 5,206.74
  4. Step 4: Simplify right side
    16,306.45x = 127,292,921.63
  5. Step 5: Solve for x
    x = 127,292,921.63/16,306.45
  6. Step 6: Final answer
    x = 7,806.29

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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.