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Finding the Fourth Proportional to 14,386.82, 19,846.19 and 9,902.78

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Solution

The fourth proportional to 14,386.82, 19,846.19 and 9,902.78 is: 13,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.82 : 19,846.19 = 9,902.78 : x
  2. Step 2: Convert to fraction form
    14,386.82/19,846.19 = 9,902.78/x
  3. Step 3: Cross multiply
    14,386.82x = 19,846.19 × 9,902.78
  4. Step 4: Simplify right side
    14,386.82x = 196,532,304.66
  5. Step 5: Solve for x
    x = 196,532,304.66/14,386.82
  6. Step 6: Final answer
    x = 13,660.58

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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.