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Finding the Fourth Proportional to 22,283.42, 30,749.76 and 12,724.42

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Solution

The fourth proportional to 22,283.42, 30,749.76 and 12,724.42 is: 17,558.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,283.42 : 30,749.76 = 12,724.42 : x
  2. Step 2: Convert to fraction form
    22,283.42/30,749.76 = 12,724.42/x
  3. Step 3: Cross multiply
    22,283.42x = 30,749.76 × 12,724.42
  4. Step 4: Simplify right side
    22,283.42x = 391,272,861.14
  5. Step 5: Solve for x
    x = 391,272,861.14/22,283.42
  6. Step 6: Final answer
    x = 17,558.92

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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.