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Finding the Fourth Proportional to 13,884.67, 20,825.65 and 7,561.59

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Solution

The fourth proportional to 13,884.67, 20,825.65 and 7,561.59 is: 11,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.67 : 20,825.65 = 7,561.59 : x
  2. Step 2: Convert to fraction form
    13,884.67/20,825.65 = 7,561.59/x
  3. Step 3: Cross multiply
    13,884.67x = 20,825.65 × 7,561.59
  4. Step 4: Simplify right side
    13,884.67x = 157,475,026.78
  5. Step 5: Solve for x
    x = 157,475,026.78/13,884.67
  6. Step 6: Final answer
    x = 11,341.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.