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Finding the Fourth Proportional to 22,921.14, 34,394.67 and 9,772.14

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Solution

The fourth proportional to 22,921.14, 34,394.67 and 9,772.14 is: 14,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,921.14 : 34,394.67 = 9,772.14 : x
  2. Step 2: Convert to fraction form
    22,921.14/34,394.67 = 9,772.14/x
  3. Step 3: Cross multiply
    22,921.14x = 34,394.67 × 9,772.14
  4. Step 4: Simplify right side
    22,921.14x = 336,109,530.49
  5. Step 5: Solve for x
    x = 336,109,530.49/22,921.14
  6. Step 6: Final answer
    x = 14,663.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.