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Finding the Fourth Proportional to 14,645.82, 20,211.25 and 7,931.46

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Solution

The fourth proportional to 14,645.82, 20,211.25 and 7,931.46 is: 10,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.82 : 20,211.25 = 7,931.46 : x
  2. Step 2: Convert to fraction form
    14,645.82/20,211.25 = 7,931.46/x
  3. Step 3: Cross multiply
    14,645.82x = 20,211.25 × 7,931.46
  4. Step 4: Simplify right side
    14,645.82x = 160,304,598.92
  5. Step 5: Solve for x
    x = 160,304,598.92/14,645.82
  6. Step 6: Final answer
    x = 10,945.42

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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.