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Finding the Fourth Proportional to 22,318.84, 30,800.04 and 12,248.16

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Solution

The fourth proportional to 22,318.84, 30,800.04 and 12,248.16 is: 16,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,318.84 : 30,800.04 = 12,248.16 : x
  2. Step 2: Convert to fraction form
    22,318.84/30,800.04 = 12,248.16/x
  3. Step 3: Cross multiply
    22,318.84x = 30,800.04 × 12,248.16
  4. Step 4: Simplify right side
    22,318.84x = 377,243,817.93
  5. Step 5: Solve for x
    x = 377,243,817.93/22,318.84
  6. Step 6: Final answer
    x = 16,902.48

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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.