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Finding the Fourth Proportional to 15,958.14, 23,929.22 and 9,296.90

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Solution

The fourth proportional to 15,958.14, 23,929.22 and 9,296.90 is: 13,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,958.14 : 23,929.22 = 9,296.90 : x
  2. Step 2: Convert to fraction form
    15,958.14/23,929.22 = 9,296.90/x
  3. Step 3: Cross multiply
    15,958.14x = 23,929.22 × 9,296.90
  4. Step 4: Simplify right side
    15,958.14x = 222,467,565.42
  5. Step 5: Solve for x
    x = 222,467,565.42/15,958.14
  6. Step 6: Final answer
    x = 13,940.70

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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.