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Finding the Fourth Proportional to 13,421.50, 20,132.52 and 4,187.50

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Solution

The fourth proportional to 13,421.50, 20,132.52 and 4,187.50 is: 6,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.50 : 20,132.52 = 4,187.50 : x
  2. Step 2: Convert to fraction form
    13,421.50/20,132.52 = 4,187.50/x
  3. Step 3: Cross multiply
    13,421.50x = 20,132.52 × 4,187.50
  4. Step 4: Simplify right side
    13,421.50x = 84,304,927.50
  5. Step 5: Solve for x
    x = 84,304,927.50/13,421.50
  6. Step 6: Final answer
    x = 6,281.33

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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.