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Finding the Fourth Proportional to 16,471, 24,713.36 and 6,617.28

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Solution

The fourth proportional to 16,471, 24,713.36 and 6,617.28 is: 9,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471 : 24,713.36 = 6,617.28 : x
  2. Step 2: Convert to fraction form
    16,471/24,713.36 = 6,617.28/x
  3. Step 3: Cross multiply
    16,471x = 24,713.36 × 6,617.28
  4. Step 4: Simplify right side
    16,471x = 163,535,222.86
  5. Step 5: Solve for x
    x = 163,535,222.86/16,471
  6. Step 6: Final answer
    x = 9,928.68

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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.