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Finding the Fourth Proportional to 13,294.32, 19,947.24 and 7,131.12

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Solution

The fourth proportional to 13,294.32, 19,947.24 and 7,131.12 is: 10,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.32 : 19,947.24 = 7,131.12 : x
  2. Step 2: Convert to fraction form
    13,294.32/19,947.24 = 7,131.12/x
  3. Step 3: Cross multiply
    13,294.32x = 19,947.24 × 7,131.12
  4. Step 4: Simplify right side
    13,294.32x = 142,246,162.11
  5. Step 5: Solve for x
    x = 142,246,162.11/13,294.32
  6. Step 6: Final answer
    x = 10,699.77

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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.