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Finding the Fourth Proportional to 16,064.85, 24,097.28 and 6,204.45

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Solution

The fourth proportional to 16,064.85, 24,097.28 and 6,204.45 is: 9,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.85 : 24,097.28 = 6,204.45 : x
  2. Step 2: Convert to fraction form
    16,064.85/24,097.28 = 6,204.45/x
  3. Step 3: Cross multiply
    16,064.85x = 24,097.28 × 6,204.45
  4. Step 4: Simplify right side
    16,064.85x = 149,510,337.87
  5. Step 5: Solve for x
    x = 149,510,337.87/16,064.85
  6. Step 6: Final answer
    x = 9,306.68

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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.