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Finding the Fourth Proportional to 14,882.32, 22,327.13 and 8,312.82

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Solution

The fourth proportional to 14,882.32, 22,327.13 and 8,312.82 is: 12,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.32 : 22,327.13 = 8,312.82 : x
  2. Step 2: Convert to fraction form
    14,882.32/22,327.13 = 8,312.82/x
  3. Step 3: Cross multiply
    14,882.32x = 22,327.13 × 8,312.82
  4. Step 4: Simplify right side
    14,882.32x = 185,601,412.81
  5. Step 5: Solve for x
    x = 185,601,412.81/14,882.32
  6. Step 6: Final answer
    x = 12,471.27

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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.