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Finding the Fourth Proportional to 13,967.85, 20,958.90 and 9,291.15

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Solution

The fourth proportional to 13,967.85, 20,958.90 and 9,291.15 is: 13,941.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.85 : 20,958.90 = 9,291.15 : x
  2. Step 2: Convert to fraction form
    13,967.85/20,958.90 = 9,291.15/x
  3. Step 3: Cross multiply
    13,967.85x = 20,958.90 × 9,291.15
  4. Step 4: Simplify right side
    13,967.85x = 194,732,283.74
  5. Step 5: Solve for x
    x = 194,732,283.74/13,967.85
  6. Step 6: Final answer
    x = 13,941.46

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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.