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Finding the Fourth Proportional to 22,282.75, 30,750.21 and 12,346.75

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Solution

The fourth proportional to 22,282.75, 30,750.21 and 12,346.75 is: 17,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.75 : 30,750.21 = 12,346.75 : x
  2. Step 2: Convert to fraction form
    22,282.75/30,750.21 = 12,346.75/x
  3. Step 3: Cross multiply
    22,282.75x = 30,750.21 × 12,346.75
  4. Step 4: Simplify right side
    22,282.75x = 379,665,155.32
  5. Step 5: Solve for x
    x = 379,665,155.32/22,282.75
  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.