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Finding the Fourth Proportional to 13,189.84, 18,203.45 and 7,525.99

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Solution

The fourth proportional to 13,189.84, 18,203.45 and 7,525.99 is: 10,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.84 : 18,203.45 = 7,525.99 : x
  2. Step 2: Convert to fraction form
    13,189.84/18,203.45 = 7,525.99/x
  3. Step 3: Cross multiply
    13,189.84x = 18,203.45 × 7,525.99
  4. Step 4: Simplify right side
    13,189.84x = 136,998,982.67
  5. Step 5: Solve for x
    x = 136,998,982.67/13,189.84
  6. Step 6: Final answer
    x = 10,386.71

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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.