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Finding the Fourth Proportional to 16,204.81, 24,306.40 and 6,345.90

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Solution

The fourth proportional to 16,204.81, 24,306.40 and 6,345.90 is: 9,518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.81 : 24,306.40 = 6,345.90 : x
  2. Step 2: Convert to fraction form
    16,204.81/24,306.40 = 6,345.90/x
  3. Step 3: Cross multiply
    16,204.81x = 24,306.40 × 6,345.90
  4. Step 4: Simplify right side
    16,204.81x = 154,245,983.76
  5. Step 5: Solve for x
    x = 154,245,983.76/16,204.81
  6. Step 6: Final answer
    x = 9,518.53

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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.