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Finding the Fourth Proportional to 14,685.68, 20,266.17 and 8,312.09

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Solution

The fourth proportional to 14,685.68, 20,266.17 and 8,312.09 is: 11,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685.68 : 20,266.17 = 8,312.09 : x
  2. Step 2: Convert to fraction form
    14,685.68/20,266.17 = 8,312.09/x
  3. Step 3: Cross multiply
    14,685.68x = 20,266.17 × 8,312.09
  4. Step 4: Simplify right side
    14,685.68x = 168,454,127.66
  5. Step 5: Solve for x
    x = 168,454,127.66/14,685.68
  6. Step 6: Final answer
    x = 11,470.64

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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.