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Finding the Fourth Proportional to 16,216, 24,327.20 and 5,124.32

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Solution

The fourth proportional to 16,216, 24,327.20 and 5,124.32 is: 7,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216 : 24,327.20 = 5,124.32 : x
  2. Step 2: Convert to fraction form
    16,216/24,327.20 = 5,124.32/x
  3. Step 3: Cross multiply
    16,216x = 24,327.20 × 5,124.32
  4. Step 4: Simplify right side
    16,216x = 124,660,357.50
  5. Step 5: Solve for x
    x = 124,660,357.50/16,216
  6. Step 6: Final answer
    x = 7,687.49

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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.