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Finding the Fourth Proportional to 14,326.12, 19,769.75 and 7,952.34

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Solution

The fourth proportional to 14,326.12, 19,769.75 and 7,952.34 is: 10,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,326.12 : 19,769.75 = 7,952.34 : x
  2. Step 2: Convert to fraction form
    14,326.12/19,769.75 = 7,952.34/x
  3. Step 3: Cross multiply
    14,326.12x = 19,769.75 × 7,952.34
  4. Step 4: Simplify right side
    14,326.12x = 157,215,773.72
  5. Step 5: Solve for x
    x = 157,215,773.72/14,326.12
  6. Step 6: Final answer
    x = 10,974.07

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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.