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Finding the Fourth Proportional to 24,529.51, 33,857.22 and 14,464.66

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Solution

The fourth proportional to 24,529.51, 33,857.22 and 14,464.66 is: 19,965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,529.51 : 33,857.22 = 14,464.66 : x
  2. Step 2: Convert to fraction form
    24,529.51/33,857.22 = 14,464.66/x
  3. Step 3: Cross multiply
    24,529.51x = 33,857.22 × 14,464.66
  4. Step 4: Simplify right side
    24,529.51x = 489,733,175.85
  5. Step 5: Solve for x
    x = 489,733,175.85/24,529.51
  6. Step 6: Final answer
    x = 19,965.06

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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.