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Finding the Fourth Proportional to 12,947.22, 17,869.21 and 7,914.35

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Solution

The fourth proportional to 12,947.22, 17,869.21 and 7,914.35 is: 10,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.22 : 17,869.21 = 7,914.35 : x
  2. Step 2: Convert to fraction form
    12,947.22/17,869.21 = 7,914.35/x
  3. Step 3: Cross multiply
    12,947.22x = 17,869.21 × 7,914.35
  4. Step 4: Simplify right side
    12,947.22x = 141,423,207.05
  5. Step 5: Solve for x
    x = 141,423,207.05/12,947.22
  6. Step 6: Final answer
    x = 10,923.06

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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.