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Finding the Fourth Proportional to 13,400.16, 20,098.80 and 5,503.50

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Solution

The fourth proportional to 13,400.16, 20,098.80 and 5,503.50 is: 8,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.16 : 20,098.80 = 5,503.50 : x
  2. Step 2: Convert to fraction form
    13,400.16/20,098.80 = 5,503.50/x
  3. Step 3: Cross multiply
    13,400.16x = 20,098.80 × 5,503.50
  4. Step 4: Simplify right side
    13,400.16x = 110,613,645.31
  5. Step 5: Solve for x
    x = 110,613,645.31/13,400.16
  6. Step 6: Final answer
    x = 8,254.65

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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.