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Finding the Fourth Proportional to 13,257.16, 18,294.90 and 7,288.93

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Solution

The fourth proportional to 13,257.16, 18,294.90 and 7,288.93 is: 10,058.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.16 : 18,294.90 = 7,288.93 : x
  2. Step 2: Convert to fraction form
    13,257.16/18,294.90 = 7,288.93/x
  3. Step 3: Cross multiply
    13,257.16x = 18,294.90 × 7,288.93
  4. Step 4: Simplify right side
    13,257.16x = 133,350,245.46
  5. Step 5: Solve for x
    x = 133,350,245.46/13,257.16
  6. Step 6: Final answer
    x = 10,058.73

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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.