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Finding the Fourth Proportional to 24,707.12, 37,066.59 and 8,067.20

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Solution

The fourth proportional to 24,707.12, 37,066.59 and 8,067.20 is: 12,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707.12 : 37,066.59 = 8,067.20 : x
  2. Step 2: Convert to fraction form
    24,707.12/37,066.59 = 8,067.20/x
  3. Step 3: Cross multiply
    24,707.12x = 37,066.59 × 8,067.20
  4. Step 4: Simplify right side
    24,707.12x = 299,023,409.52
  5. Step 5: Solve for x
    x = 299,023,409.52/24,707.12
  6. Step 6: Final answer
    x = 12,102.72

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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.