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Finding the Fourth Proportional to 16,483.90, 24,719.19 and 10,234.66

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Solution

The fourth proportional to 16,483.90, 24,719.19 and 10,234.66 is: 15,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.90 : 24,719.19 = 10,234.66 : x
  2. Step 2: Convert to fraction form
    16,483.90/24,719.19 = 10,234.66/x
  3. Step 3: Cross multiply
    16,483.90x = 24,719.19 × 10,234.66
  4. Step 4: Simplify right side
    16,483.90x = 252,992,505.13
  5. Step 5: Solve for x
    x = 252,992,505.13/16,483.90
  6. Step 6: Final answer
    x = 15,347.85

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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.