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Finding the Fourth Proportional to 22,304.64, 30,780.78 and 12,234

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Solution

The fourth proportional to 22,304.64, 30,780.78 and 12,234 is: 16,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.64 : 30,780.78 = 12,234 : x
  2. Step 2: Convert to fraction form
    22,304.64/30,780.78 = 12,234/x
  3. Step 3: Cross multiply
    22,304.64x = 30,780.78 × 12,234
  4. Step 4: Simplify right side
    22,304.64x = 376,572,062.52
  5. Step 5: Solve for x
    x = 376,572,062.52/22,304.64
  6. Step 6: Final answer
    x = 16,883.13

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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.