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Finding the Fourth Proportional to 22,713.84, 34,066.92 and 6,294

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Solution

The fourth proportional to 22,713.84, 34,066.92 and 6,294 is: 9,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713.84 : 34,066.92 = 6,294 : x
  2. Step 2: Convert to fraction form
    22,713.84/34,066.92 = 6,294/x
  3. Step 3: Cross multiply
    22,713.84x = 34,066.92 × 6,294
  4. Step 4: Simplify right side
    22,713.84x = 214,417,194.48
  5. Step 5: Solve for x
    x = 214,417,194.48/22,713.84
  6. Step 6: Final answer
    x = 9,439.94

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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.