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Finding the Fourth Proportional to 13,002.88, 19,466.24 and 8,057.60

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Solution

The fourth proportional to 13,002.88, 19,466.24 and 8,057.60 is: 12,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.88 : 19,466.24 = 8,057.60 : x
  2. Step 2: Convert to fraction form
    13,002.88/19,466.24 = 8,057.60/x
  3. Step 3: Cross multiply
    13,002.88x = 19,466.24 × 8,057.60
  4. Step 4: Simplify right side
    13,002.88x = 156,851,175.42
  5. Step 5: Solve for x
    x = 156,851,175.42/13,002.88
  6. Step 6: Final answer
    x = 12,062.80

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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.