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Finding the Fourth Proportional to 14,257.32, 19,675.10 and 7,969.68

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Solution

The fourth proportional to 14,257.32, 19,675.10 and 7,969.68 is: 10,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.32 : 19,675.10 = 7,969.68 : x
  2. Step 2: Convert to fraction form
    14,257.32/19,675.10 = 7,969.68/x
  3. Step 3: Cross multiply
    14,257.32x = 19,675.10 × 7,969.68
  4. Step 4: Simplify right side
    14,257.32x = 156,804,250.97
  5. Step 5: Solve for x
    x = 156,804,250.97/14,257.32
  6. Step 6: Final answer
    x = 10,998.16

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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.