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Finding the Fourth Proportional to 22,282.76, 30,750.20 and 12,346.76

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Solution

The fourth proportional to 22,282.76, 30,750.20 and 12,346.76 is: 17,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.76 : 30,750.20 = 12,346.76 : x
  2. Step 2: Convert to fraction form
    22,282.76/30,750.20 = 12,346.76/x
  3. Step 3: Cross multiply
    22,282.76x = 30,750.20 × 12,346.76
  4. Step 4: Simplify right side
    22,282.76x = 379,665,339.35
  5. Step 5: Solve for x
    x = 379,665,339.35/22,282.76
  6. Step 6: Final answer
    x = 17,038.52

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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.