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Finding the Fourth Proportional to 18,312.64, 27,470.88 and 7,924.80

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Solution

The fourth proportional to 18,312.64, 27,470.88 and 7,924.80 is: 11,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,312.64 : 27,470.88 = 7,924.80 : x
  2. Step 2: Convert to fraction form
    18,312.64/27,470.88 = 7,924.80/x
  3. Step 3: Cross multiply
    18,312.64x = 27,470.88 × 7,924.80
  4. Step 4: Simplify right side
    18,312.64x = 217,701,229.82
  5. Step 5: Solve for x
    x = 217,701,229.82/18,312.64
  6. Step 6: Final answer
    x = 11,888.03

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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.