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Finding the Fourth Proportional to 16,449.08, 22,697.70 and 10,478.30

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Solution

The fourth proportional to 16,449.08, 22,697.70 and 10,478.30 is: 14,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.08 : 22,697.70 = 10,478.30 : x
  2. Step 2: Convert to fraction form
    16,449.08/22,697.70 = 10,478.30/x
  3. Step 3: Cross multiply
    16,449.08x = 22,697.70 × 10,478.30
  4. Step 4: Simplify right side
    16,449.08x = 237,833,309.91
  5. Step 5: Solve for x
    x = 237,833,309.91/16,449.08
  6. Step 6: Final answer
    x = 14,458.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.