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Finding the Fourth Proportional to 14,110.12, 19,471.08 and 7,822

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Solution

The fourth proportional to 14,110.12, 19,471.08 and 7,822 is: 10,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.12 : 19,471.08 = 7,822 : x
  2. Step 2: Convert to fraction form
    14,110.12/19,471.08 = 7,822/x
  3. Step 3: Cross multiply
    14,110.12x = 19,471.08 × 7,822
  4. Step 4: Simplify right side
    14,110.12x = 152,302,787.76
  5. Step 5: Solve for x
    x = 152,302,787.76/14,110.12
  6. Step 6: Final answer
    x = 10,793.87

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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.