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Finding the Fourth Proportional to 22,382.76, 33,588.72 and 8,531.76

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Solution

The fourth proportional to 22,382.76, 33,588.72 and 8,531.76 is: 12,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.76 : 33,588.72 = 8,531.76 : x
  2. Step 2: Convert to fraction form
    22,382.76/33,588.72 = 8,531.76/x
  3. Step 3: Cross multiply
    22,382.76x = 33,588.72 × 8,531.76
  4. Step 4: Simplify right side
    22,382.76x = 286,570,897.75
  5. Step 5: Solve for x
    x = 286,570,897.75/22,382.76
  6. Step 6: Final answer
    x = 12,803.20

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1.5x scale

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.