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Finding the Fourth Proportional to 14,003.60, 20,985.68 and 7,766.48

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Solution

The fourth proportional to 14,003.60, 20,985.68 and 7,766.48 is: 11,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.60 : 20,985.68 = 7,766.48 : x
  2. Step 2: Convert to fraction form
    14,003.60/20,985.68 = 7,766.48/x
  3. Step 3: Cross multiply
    14,003.60x = 20,985.68 × 7,766.48
  4. Step 4: Simplify right side
    14,003.60x = 162,984,864.01
  5. Step 5: Solve for x
    x = 162,984,864.01/14,003.60
  6. Step 6: Final answer
    x = 11,638.78

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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.