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Finding the Fourth Proportional to 16,264.86, 24,358.29 and 8,346.52

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Solution

The fourth proportional to 16,264.86, 24,358.29 and 8,346.52 is: 12,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.86 : 24,358.29 = 8,346.52 : x
  2. Step 2: Convert to fraction form
    16,264.86/24,358.29 = 8,346.52/x
  3. Step 3: Cross multiply
    16,264.86x = 24,358.29 × 8,346.52
  4. Step 4: Simplify right side
    16,264.86x = 203,306,954.65
  5. Step 5: Solve for x
    x = 203,306,954.65/16,264.86
  6. Step 6: Final answer
    x = 12,499.77

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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.