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Finding the Fourth Proportional to 15,222.60, 22,834.26 and 4,834.26

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Solution

The fourth proportional to 15,222.60, 22,834.26 and 4,834.26 is: 7,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,222.60 : 22,834.26 = 4,834.26 : x
  2. Step 2: Convert to fraction form
    15,222.60/22,834.26 = 4,834.26/x
  3. Step 3: Cross multiply
    15,222.60x = 22,834.26 × 4,834.26
  4. Step 4: Simplify right side
    15,222.60x = 110,386,749.75
  5. Step 5: Solve for x
    x = 110,386,749.75/15,222.60
  6. Step 6: Final answer
    x = 7,251.50

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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.