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Finding the Fourth Proportional to 13,522.48, 18,635.18 and 9,738.96

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Solution

The fourth proportional to 13,522.48, 18,635.18 and 9,738.96 is: 13,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.48 : 18,635.18 = 9,738.96 : x
  2. Step 2: Convert to fraction form
    13,522.48/18,635.18 = 9,738.96/x
  3. Step 3: Cross multiply
    13,522.48x = 18,635.18 × 9,738.96
  4. Step 4: Simplify right side
    13,522.48x = 181,487,272.61
  5. Step 5: Solve for x
    x = 181,487,272.61/13,522.48
  6. Step 6: Final answer
    x = 13,421.15

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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.