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Finding the Fourth Proportional to 14,317.80, 21,476.70 and 7,747.08

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Solution

The fourth proportional to 14,317.80, 21,476.70 and 7,747.08 is: 11,620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,317.80 : 21,476.70 = 7,747.08 : x
  2. Step 2: Convert to fraction form
    14,317.80/21,476.70 = 7,747.08/x
  3. Step 3: Cross multiply
    14,317.80x = 21,476.70 × 7,747.08
  4. Step 4: Simplify right side
    14,317.80x = 166,381,713.04
  5. Step 5: Solve for x
    x = 166,381,713.04/14,317.80
  6. Step 6: Final answer
    x = 11,620.62

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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.