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Finding the Fourth Proportional to 14,675.60, 22,016.10 and 6,884.40

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Solution

The fourth proportional to 14,675.60, 22,016.10 and 6,884.40 is: 10,327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675.60 : 22,016.10 = 6,884.40 : x
  2. Step 2: Convert to fraction form
    14,675.60/22,016.10 = 6,884.40/x
  3. Step 3: Cross multiply
    14,675.60x = 22,016.10 × 6,884.40
  4. Step 4: Simplify right side
    14,675.60x = 151,567,638.84
  5. Step 5: Solve for x
    x = 151,567,638.84/14,675.60
  6. Step 6: Final answer
    x = 10,327.87

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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.