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Finding the Fourth Proportional to 16,408.06, 22,643.13 and 8,956.06

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Solution

The fourth proportional to 16,408.06, 22,643.13 and 8,956.06 is: 12,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.06 : 22,643.13 = 8,956.06 : x
  2. Step 2: Convert to fraction form
    16,408.06/22,643.13 = 8,956.06/x
  3. Step 3: Cross multiply
    16,408.06x = 22,643.13 × 8,956.06
  4. Step 4: Simplify right side
    16,408.06x = 202,793,265.09
  5. Step 5: Solve for x
    x = 202,793,265.09/16,408.06
  6. Step 6: Final answer
    x = 12,359.37

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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.