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Finding the Fourth Proportional to 14,241.46, 19,654.36 and 7,868.61

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Solution

The fourth proportional to 14,241.46, 19,654.36 and 7,868.61 is: 10,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.46 : 19,654.36 = 7,868.61 : x
  2. Step 2: Convert to fraction form
    14,241.46/19,654.36 = 7,868.61/x
  3. Step 3: Cross multiply
    14,241.46x = 19,654.36 × 7,868.61
  4. Step 4: Simplify right side
    14,241.46x = 154,652,518.23
  5. Step 5: Solve for x
    x = 154,652,518.23/14,241.46
  6. Step 6: Final answer
    x = 10,859.32

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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.