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Finding the Fourth Proportional to 16,531.50, 22,813.48 and 9,079.50

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Solution

The fourth proportional to 16,531.50, 22,813.48 and 9,079.50 is: 12,529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531.50 : 22,813.48 = 9,079.50 : x
  2. Step 2: Convert to fraction form
    16,531.50/22,813.48 = 9,079.50/x
  3. Step 3: Cross multiply
    16,531.50x = 22,813.48 × 9,079.50
  4. Step 4: Simplify right side
    16,531.50x = 207,134,991.66
  5. Step 5: Solve for x
    x = 207,134,991.66/16,531.50
  6. Step 6: Final answer
    x = 12,529.72

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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.