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Finding the Fourth Proportional to 16,462.56, 24,687.84 and 4,772.16

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Solution

The fourth proportional to 16,462.56, 24,687.84 and 4,772.16 is: 7,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.56 : 24,687.84 = 4,772.16 : x
  2. Step 2: Convert to fraction form
    16,462.56/24,687.84 = 4,772.16/x
  3. Step 3: Cross multiply
    16,462.56x = 24,687.84 × 4,772.16
  4. Step 4: Simplify right side
    16,462.56x = 117,814,322.53
  5. Step 5: Solve for x
    x = 117,814,322.53/16,462.56
  6. Step 6: Final answer
    x = 7,156.50

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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.