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Finding the Fourth Proportional to 27,109.83, 40,656.93 and 9,339.77

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Solution

The fourth proportional to 27,109.83, 40,656.93 and 9,339.77 is: 14,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.83 : 40,656.93 = 9,339.77 : x
  2. Step 2: Convert to fraction form
    27,109.83/40,656.93 = 9,339.77/x
  3. Step 3: Cross multiply
    27,109.83x = 40,656.93 × 9,339.77
  4. Step 4: Simplify right side
    27,109.83x = 379,726,375.11
  5. Step 5: Solve for x
    x = 379,726,375.11/27,109.83
  6. Step 6: Final answer
    x = 14,006.96

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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.