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Finding the Fourth Proportional to 16,471.58, 24,709.74 and 5,375.53

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Solution

The fourth proportional to 16,471.58, 24,709.74 and 5,375.53 is: 8,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.58 : 24,709.74 = 5,375.53 : x
  2. Step 2: Convert to fraction form
    16,471.58/24,709.74 = 5,375.53/x
  3. Step 3: Cross multiply
    16,471.58x = 24,709.74 × 5,375.53
  4. Step 4: Simplify right side
    16,471.58x = 132,827,798.24
  5. Step 5: Solve for x
    x = 132,827,798.24/16,471.58
  6. Step 6: Final answer
    x = 8,064.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.