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Finding the Fourth Proportional to 22,178.98, 30,596.38 and 15,011.40

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Solution

The fourth proportional to 22,178.98, 30,596.38 and 15,011.40 is: 20,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178.98 : 30,596.38 = 15,011.40 : x
  2. Step 2: Convert to fraction form
    22,178.98/30,596.38 = 15,011.40/x
  3. Step 3: Cross multiply
    22,178.98x = 30,596.38 × 15,011.40
  4. Step 4: Simplify right side
    22,178.98x = 459,294,498.73
  5. Step 5: Solve for x
    x = 459,294,498.73/22,178.98
  6. Step 6: Final answer
    x = 20,708.55

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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.