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Finding the Fourth Proportional to 16,408.68, 22,639.08 and 9,694.92

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Solution

The fourth proportional to 16,408.68, 22,639.08 and 9,694.92 is: 13,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.68 : 22,639.08 = 9,694.92 : x
  2. Step 2: Convert to fraction form
    16,408.68/22,639.08 = 9,694.92/x
  3. Step 3: Cross multiply
    16,408.68x = 22,639.08 × 9,694.92
  4. Step 4: Simplify right side
    16,408.68x = 219,484,069.47
  5. Step 5: Solve for x
    x = 219,484,069.47/16,408.68
  6. Step 6: Final answer
    x = 13,376.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.