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Finding the Fourth Proportional to 15,223.14, 22,826.07 and 11,110.50

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Solution

The fourth proportional to 15,223.14, 22,826.07 and 11,110.50 is: 16,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.14 : 22,826.07 = 11,110.50 : x
  2. Step 2: Convert to fraction form
    15,223.14/22,826.07 = 11,110.50/x
  3. Step 3: Cross multiply
    15,223.14x = 22,826.07 × 11,110.50
  4. Step 4: Simplify right side
    15,223.14x = 253,609,050.74
  5. Step 5: Solve for x
    x = 253,609,050.74/15,223.14
  6. Step 6: Final answer
    x = 16,659.44

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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.