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Finding the Fourth Proportional to 15,223.85, 22,820.10 and 7,314.50

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Solution

The fourth proportional to 15,223.85, 22,820.10 and 7,314.50 is: 10,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.85 : 22,820.10 = 7,314.50 : x
  2. Step 2: Convert to fraction form
    15,223.85/22,820.10 = 7,314.50/x
  3. Step 3: Cross multiply
    15,223.85x = 22,820.10 × 7,314.50
  4. Step 4: Simplify right side
    15,223.85x = 166,917,507.35
  5. Step 5: Solve for x
    x = 166,917,507.35/15,223.85
  6. Step 6: Final answer
    x = 10,964.21

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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.