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Finding the Fourth Proportional to 27,329.32, 40,968.06 and 11,737

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Solution

The fourth proportional to 27,329.32, 40,968.06 and 11,737 is: 17,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,329.32 : 40,968.06 = 11,737 : x
  2. Step 2: Convert to fraction form
    27,329.32/40,968.06 = 11,737/x
  3. Step 3: Cross multiply
    27,329.32x = 40,968.06 × 11,737
  4. Step 4: Simplify right side
    27,329.32x = 480,842,120.22
  5. Step 5: Solve for x
    x = 480,842,120.22/27,329.32
  6. Step 6: Final answer
    x = 17,594.37

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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.