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Finding the Fourth Proportional to 23,002.91, 34,507.65 and 8,208.71

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Solution

The fourth proportional to 23,002.91, 34,507.65 and 8,208.71 is: 12,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.91 : 34,507.65 = 8,208.71 : x
  2. Step 2: Convert to fraction form
    23,002.91/34,507.65 = 8,208.71/x
  3. Step 3: Cross multiply
    23,002.91x = 34,507.65 × 8,208.71
  4. Step 4: Simplify right side
    23,002.91x = 283,263,291.63
  5. Step 5: Solve for x
    x = 283,263,291.63/23,002.91
  6. Step 6: Final answer
    x = 12,314.24

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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.