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Finding the Fourth Proportional to 13,967.10, 20,937.15 and 5,193.18

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Solution

The fourth proportional to 13,967.10, 20,937.15 and 5,193.18 is: 7,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.10 : 20,937.15 = 5,193.18 : x
  2. Step 2: Convert to fraction form
    13,967.10/20,937.15 = 5,193.18/x
  3. Step 3: Cross multiply
    13,967.10x = 20,937.15 × 5,193.18
  4. Step 4: Simplify right side
    13,967.10x = 108,730,388.64
  5. Step 5: Solve for x
    x = 108,730,388.64/13,967.10
  6. Step 6: Final answer
    x = 7,784.75

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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.