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Finding the Fourth Proportional to 27,002.88, 40,508.64 and 11,420.64

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Solution

The fourth proportional to 27,002.88, 40,508.64 and 11,420.64 is: 17,132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.88 : 40,508.64 = 11,420.64 : x
  2. Step 2: Convert to fraction form
    27,002.88/40,508.64 = 11,420.64/x
  3. Step 3: Cross multiply
    27,002.88x = 40,508.64 × 11,420.64
  4. Step 4: Simplify right side
    27,002.88x = 462,634,594.33
  5. Step 5: Solve for x
    x = 462,634,594.33/27,002.88
  6. Step 6: Final answer
    x = 17,132.79

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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.