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Finding the Fourth Proportional to 13,502.22, 20,253.33 and 4,267.50

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Solution

The fourth proportional to 13,502.22, 20,253.33 and 4,267.50 is: 6,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.22 : 20,253.33 = 4,267.50 : x
  2. Step 2: Convert to fraction form
    13,502.22/20,253.33 = 4,267.50/x
  3. Step 3: Cross multiply
    13,502.22x = 20,253.33 × 4,267.50
  4. Step 4: Simplify right side
    13,502.22x = 86,431,085.78
  5. Step 5: Solve for x
    x = 86,431,085.78/13,502.22
  6. Step 6: Final answer
    x = 6,401.25

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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.