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Finding the Fourth Proportional to 22,818.76, 34,218.96 and 8,024.16

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Solution

The fourth proportional to 22,818.76, 34,218.96 and 8,024.16 is: 12,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,818.76 : 34,218.96 = 8,024.16 : x
  2. Step 2: Convert to fraction form
    22,818.76/34,218.96 = 8,024.16/x
  3. Step 3: Cross multiply
    22,818.76x = 34,218.96 × 8,024.16
  4. Step 4: Simplify right side
    22,818.76x = 274,578,508.30
  5. Step 5: Solve for x
    x = 274,578,508.30/22,818.76
  6. Step 6: Final answer
    x = 12,033.01

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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.