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Finding the Fourth Proportional to 24,782.16, 34,175.04 and 22,733.28

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Solution

The fourth proportional to 24,782.16, 34,175.04 and 22,733.28 is: 31,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.16 : 34,175.04 = 22,733.28 : x
  2. Step 2: Convert to fraction form
    24,782.16/34,175.04 = 22,733.28/x
  3. Step 3: Cross multiply
    24,782.16x = 34,175.04 × 22,733.28
  4. Step 4: Simplify right side
    24,782.16x = 776,910,753.33
  5. Step 5: Solve for x
    x = 776,910,753.33/24,782.16
  6. Step 6: Final answer
    x = 31,349.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.