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Finding the Fourth Proportional to 22,281.24, 30,746.07 and 12,847.98

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Solution

The fourth proportional to 22,281.24, 30,746.07 and 12,847.98 is: 17,729.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,281.24 : 30,746.07 = 12,847.98 : x
  2. Step 2: Convert to fraction form
    22,281.24/30,746.07 = 12,847.98/x
  3. Step 3: Cross multiply
    22,281.24x = 30,746.07 × 12,847.98
  4. Step 4: Simplify right side
    22,281.24x = 395,024,892.44
  5. Step 5: Solve for x
    x = 395,024,892.44/22,281.24
  6. Step 6: Final answer
    x = 17,729.04

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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.