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Finding the Fourth Proportional to 23,415.80, 35,129.26 and 6,776.24

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Solution

The fourth proportional to 23,415.80, 35,129.26 and 6,776.24 is: 10,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415.80 : 35,129.26 = 6,776.24 : x
  2. Step 2: Convert to fraction form
    23,415.80/35,129.26 = 6,776.24/x
  3. Step 3: Cross multiply
    23,415.80x = 35,129.26 × 6,776.24
  4. Step 4: Simplify right side
    23,415.80x = 238,044,296.78
  5. Step 5: Solve for x
    x = 238,044,296.78/23,415.80
  6. Step 6: Final answer
    x = 10,165.97

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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.