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Finding the Fourth Proportional to 22,341.78, 30,832.02 and 12,271.16

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Solution

The fourth proportional to 22,341.78, 30,832.02 and 12,271.16 is: 16,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,341.78 : 30,832.02 = 12,271.16 : x
  2. Step 2: Convert to fraction form
    22,341.78/30,832.02 = 12,271.16/x
  3. Step 3: Cross multiply
    22,341.78x = 30,832.02 × 12,271.16
  4. Step 4: Simplify right side
    22,341.78x = 378,344,727.62
  5. Step 5: Solve for x
    x = 378,344,727.62/22,341.78
  6. Step 6: Final answer
    x = 16,934.40

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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.