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Finding the Fourth Proportional to 13,257.70, 18,294.78 and 7,592.44

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Solution

The fourth proportional to 13,257.70, 18,294.78 and 7,592.44 is: 10,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.70 : 18,294.78 = 7,592.44 : x
  2. Step 2: Convert to fraction form
    13,257.70/18,294.78 = 7,592.44/x
  3. Step 3: Cross multiply
    13,257.70x = 18,294.78 × 7,592.44
  4. Step 4: Simplify right side
    13,257.70x = 138,902,019.46
  5. Step 5: Solve for x
    x = 138,902,019.46/13,257.70
  6. Step 6: Final answer
    x = 10,477.08

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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.