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Finding the Fourth Proportional to 27,537.60, 41,317.20 and 10,009.20

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Solution

The fourth proportional to 27,537.60, 41,317.20 and 10,009.20 is: 15,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,537.60 : 41,317.20 = 10,009.20 : x
  2. Step 2: Convert to fraction form
    27,537.60/41,317.20 = 10,009.20/x
  3. Step 3: Cross multiply
    27,537.60x = 41,317.20 × 10,009.20
  4. Step 4: Simplify right side
    27,537.60x = 413,552,118.24
  5. Step 5: Solve for x
    x = 413,552,118.24/27,537.60
  6. Step 6: Final answer
    x = 15,017.73

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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.