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Finding the Fourth Proportional to 13,998.34, 19,314.35 and 7,947.24

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Solution

The fourth proportional to 13,998.34, 19,314.35 and 7,947.24 is: 10,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998.34 : 19,314.35 = 7,947.24 : x
  2. Step 2: Convert to fraction form
    13,998.34/19,314.35 = 7,947.24/x
  3. Step 3: Cross multiply
    13,998.34x = 19,314.35 × 7,947.24
  4. Step 4: Simplify right side
    13,998.34x = 153,495,692.53
  5. Step 5: Solve for x
    x = 153,495,692.53/13,998.34
  6. Step 6: Final answer
    x = 10,965.28

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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.