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Finding the Fourth Proportional to 22,967.31, 34,459.70 and 11,867.07

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Solution

The fourth proportional to 22,967.31, 34,459.70 and 11,867.07 is: 17,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.31 : 34,459.70 = 11,867.07 : x
  2. Step 2: Convert to fraction form
    22,967.31/34,459.70 = 11,867.07/x
  3. Step 3: Cross multiply
    22,967.31x = 34,459.70 × 11,867.07
  4. Step 4: Simplify right side
    22,967.31x = 408,935,612.74
  5. Step 5: Solve for x
    x = 408,935,612.74/22,967.31
  6. Step 6: Final answer
    x = 17,805.12

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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.