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Finding the Fourth Proportional to 12,099.80, 16,690.48 and 7,615.76

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Solution

The fourth proportional to 12,099.80, 16,690.48 and 7,615.76 is: 10,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.80 : 16,690.48 = 7,615.76 : x
  2. Step 2: Convert to fraction form
    12,099.80/16,690.48 = 7,615.76/x
  3. Step 3: Cross multiply
    12,099.80x = 16,690.48 × 7,615.76
  4. Step 4: Simplify right side
    12,099.80x = 127,110,749.72
  5. Step 5: Solve for x
    x = 127,110,749.72/12,099.80
  6. Step 6: Final answer
    x = 10,505.20

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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.