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Finding the Fourth Proportional to 18,102.42, 27,150.29 and 7,569.59

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Solution

The fourth proportional to 18,102.42, 27,150.29 and 7,569.59 is: 11,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.42 : 27,150.29 = 7,569.59 : x
  2. Step 2: Convert to fraction form
    18,102.42/27,150.29 = 7,569.59/x
  3. Step 3: Cross multiply
    18,102.42x = 27,150.29 × 7,569.59
  4. Step 4: Simplify right side
    18,102.42x = 205,516,418.47
  5. Step 5: Solve for x
    x = 205,516,418.47/18,102.42
  6. Step 6: Final answer
    x = 11,352.98

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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.