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Finding the Fourth Proportional to 13,988.46, 20,967.46 and 6,973.66

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Solution

The fourth proportional to 13,988.46, 20,967.46 and 6,973.66 is: 10,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.46 : 20,967.46 = 6,973.66 : x
  2. Step 2: Convert to fraction form
    13,988.46/20,967.46 = 6,973.66/x
  3. Step 3: Cross multiply
    13,988.46x = 20,967.46 × 6,973.66
  4. Step 4: Simplify right side
    13,988.46x = 146,219,945.88
  5. Step 5: Solve for x
    x = 146,219,945.88/13,988.46
  6. Step 6: Final answer
    x = 10,452.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.