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Finding the Fourth Proportional to 13,731.84, 18,949.84 and 7,444.08

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Solution

The fourth proportional to 13,731.84, 18,949.84 and 7,444.08 is: 10,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.84 : 18,949.84 = 7,444.08 : x
  2. Step 2: Convert to fraction form
    13,731.84/18,949.84 = 7,444.08/x
  3. Step 3: Cross multiply
    13,731.84x = 18,949.84 × 7,444.08
  4. Step 4: Simplify right side
    13,731.84x = 141,064,124.95
  5. Step 5: Solve for x
    x = 141,064,124.95/13,731.84
  6. Step 6: Final answer
    x = 10,272.78

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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.