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Finding the Fourth Proportional to 27,557.50, 41,336.27 and 9,089.50

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Solution

The fourth proportional to 27,557.50, 41,336.27 and 9,089.50 is: 13,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,557.50 : 41,336.27 = 9,089.50 : x
  2. Step 2: Convert to fraction form
    27,557.50/41,336.27 = 9,089.50/x
  3. Step 3: Cross multiply
    27,557.50x = 41,336.27 × 9,089.50
  4. Step 4: Simplify right side
    27,557.50x = 375,726,026.17
  5. Step 5: Solve for x
    x = 375,726,026.17/27,557.50
  6. Step 6: Final answer
    x = 13,634.26

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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.