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Finding the Fourth Proportional to 13,188.84, 18,202.07 and 7,524.99

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Solution

The fourth proportional to 13,188.84, 18,202.07 and 7,524.99 is: 10,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.84 : 18,202.07 = 7,524.99 : x
  2. Step 2: Convert to fraction form
    13,188.84/18,202.07 = 7,524.99/x
  3. Step 3: Cross multiply
    13,188.84x = 18,202.07 × 7,524.99
  4. Step 4: Simplify right side
    13,188.84x = 136,970,357.10
  5. Step 5: Solve for x
    x = 136,970,357.10/13,188.84
  6. Step 6: Final answer
    x = 10,385.32

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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.