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Finding the Fourth Proportional to 16,448, 24,671.36 and 4,760

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Solution

The fourth proportional to 16,448, 24,671.36 and 4,760 is: 7,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448 : 24,671.36 = 4,760 : x
  2. Step 2: Convert to fraction form
    16,448/24,671.36 = 4,760/x
  3. Step 3: Cross multiply
    16,448x = 24,671.36 × 4,760
  4. Step 4: Simplify right side
    16,448x = 117,435,673.60
  5. Step 5: Solve for x
    x = 117,435,673.60/16,448
  6. Step 6: Final answer
    x = 7,139.81

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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.