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Finding the Fourth Proportional to 26,477.53, 39,721.77 and 7,758.18

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Solution

The fourth proportional to 26,477.53, 39,721.77 and 7,758.18 is: 11,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,477.53 : 39,721.77 = 7,758.18 : x
  2. Step 2: Convert to fraction form
    26,477.53/39,721.77 = 7,758.18/x
  3. Step 3: Cross multiply
    26,477.53x = 39,721.77 × 7,758.18
  4. Step 4: Simplify right side
    26,477.53x = 308,168,619.76
  5. Step 5: Solve for x
    x = 308,168,619.76/26,477.53
  6. Step 6: Final answer
    x = 11,638.87

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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.