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Finding the Fourth Proportional to 22,972.82, 34,459.16 and 7,390.44

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Solution

The fourth proportional to 22,972.82, 34,459.16 and 7,390.44 is: 11,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,972.82 : 34,459.16 = 7,390.44 : x
  2. Step 2: Convert to fraction form
    22,972.82/34,459.16 = 7,390.44/x
  3. Step 3: Cross multiply
    22,972.82x = 34,459.16 × 7,390.44
  4. Step 4: Simplify right side
    22,972.82x = 254,668,317.48
  5. Step 5: Solve for x
    x = 254,668,317.48/22,972.82
  6. Step 6: Final answer
    x = 11,085.64

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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.