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Finding the Fourth Proportional to 13,747.88, 18,972.08 and 7,460.25

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Solution

The fourth proportional to 13,747.88, 18,972.08 and 7,460.25 is: 10,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.88 : 18,972.08 = 7,460.25 : x
  2. Step 2: Convert to fraction form
    13,747.88/18,972.08 = 7,460.25/x
  3. Step 3: Cross multiply
    13,747.88x = 18,972.08 × 7,460.25
  4. Step 4: Simplify right side
    13,747.88x = 141,536,422.52
  5. Step 5: Solve for x
    x = 141,536,422.52/13,747.88
  6. Step 6: Final answer
    x = 10,295.15

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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.