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Finding the Fourth Proportional to 22,971, 34,456.64 and 9,120

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Solution

The fourth proportional to 22,971, 34,456.64 and 9,120 is: 13,680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971 : 34,456.64 = 9,120 : x
  2. Step 2: Convert to fraction form
    22,971/34,456.64 = 9,120/x
  3. Step 3: Cross multiply
    22,971x = 34,456.64 × 9,120
  4. Step 4: Simplify right side
    22,971x = 314,244,556.80
  5. Step 5: Solve for x
    x = 314,244,556.80/22,971
  6. Step 6: Final answer
    x = 13,680.06

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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.