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Finding the Fourth Proportional to 15,296.92, 22,939.14 and 4,763.40

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Solution

The fourth proportional to 15,296.92, 22,939.14 and 4,763.40 is: 7,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,296.92 : 22,939.14 = 4,763.40 : x
  2. Step 2: Convert to fraction form
    15,296.92/22,939.14 = 4,763.40/x
  3. Step 3: Cross multiply
    15,296.92x = 22,939.14 × 4,763.40
  4. Step 4: Simplify right side
    15,296.92x = 109,268,231.32
  5. Step 5: Solve for x
    x = 109,268,231.32/15,296.92
  6. Step 6: Final answer
    x = 7,143.15

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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.