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Finding the Fourth Proportional to 14,291.60, 19,722.96 and 7,919

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Solution

The fourth proportional to 14,291.60, 19,722.96 and 7,919 is: 10,928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.60 : 19,722.96 = 7,919 : x
  2. Step 2: Convert to fraction form
    14,291.60/19,722.96 = 7,919/x
  3. Step 3: Cross multiply
    14,291.60x = 19,722.96 × 7,919
  4. Step 4: Simplify right side
    14,291.60x = 156,186,120.24
  5. Step 5: Solve for x
    x = 156,186,120.24/14,291.60
  6. Step 6: Final answer
    x = 10,928.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.