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Finding the Fourth Proportional to 22,882.34, 31,573.96 and 12,811.20

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Solution

The fourth proportional to 22,882.34, 31,573.96 and 12,811.20 is: 17,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.34 : 31,573.96 = 12,811.20 : x
  2. Step 2: Convert to fraction form
    22,882.34/31,573.96 = 12,811.20/x
  3. Step 3: Cross multiply
    22,882.34x = 31,573.96 × 12,811.20
  4. Step 4: Simplify right side
    22,882.34x = 404,500,316.35
  5. Step 5: Solve for x
    x = 404,500,316.35/22,882.34
  6. Step 6: Final answer
    x = 17,677.40

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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.