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Finding the Fourth Proportional to 12,252.65, 16,903.76 and 8,002.26

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Solution

The fourth proportional to 12,252.65, 16,903.76 and 8,002.26 is: 11,039.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,252.65 : 16,903.76 = 8,002.26 : x
  2. Step 2: Convert to fraction form
    12,252.65/16,903.76 = 8,002.26/x
  3. Step 3: Cross multiply
    12,252.65x = 16,903.76 × 8,002.26
  4. Step 4: Simplify right side
    12,252.65x = 135,268,242.49
  5. Step 5: Solve for x
    x = 135,268,242.49/12,252.65
  6. Step 6: Final answer
    x = 11,039.92

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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.