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Finding the Fourth Proportional to 22,352.64, 30,847.04 and 12,282

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Solution

The fourth proportional to 22,352.64, 30,847.04 and 12,282 is: 16,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,352.64 : 30,847.04 = 12,282 : x
  2. Step 2: Convert to fraction form
    22,352.64/30,847.04 = 12,282/x
  3. Step 3: Cross multiply
    22,352.64x = 30,847.04 × 12,282
  4. Step 4: Simplify right side
    22,352.64x = 378,863,345.28
  5. Step 5: Solve for x
    x = 378,863,345.28/22,352.64
  6. Step 6: Final answer
    x = 16,949.38

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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.