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Finding the Fourth Proportional to 16,437.68, 24,649.20 and 4,748.12

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Solution

The fourth proportional to 16,437.68, 24,649.20 and 4,748.12 is: 7,120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437.68 : 24,649.20 = 4,748.12 : x
  2. Step 2: Convert to fraction form
    16,437.68/24,649.20 = 4,748.12/x
  3. Step 3: Cross multiply
    16,437.68x = 24,649.20 × 4,748.12
  4. Step 4: Simplify right side
    16,437.68x = 117,037,359.50
  5. Step 5: Solve for x
    x = 117,037,359.50/16,437.68
  6. Step 6: Final answer
    x = 7,120.07

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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.