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Finding the Fourth Proportional to 16,015.68, 24,023.52 and 5,625

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Solution

The fourth proportional to 16,015.68, 24,023.52 and 5,625 is: 8,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015.68 : 24,023.52 = 5,625 : x
  2. Step 2: Convert to fraction form
    16,015.68/24,023.52 = 5,625/x
  3. Step 3: Cross multiply
    16,015.68x = 24,023.52 × 5,625
  4. Step 4: Simplify right side
    16,015.68x = 135,132,300
  5. Step 5: Solve for x
    x = 135,132,300/16,015.68
  6. Step 6: Final answer
    x = 8,437.50

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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.