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Finding the Fourth Proportional to 28,144, 38,840.82 and 16,044.77

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Solution

The fourth proportional to 28,144, 38,840.82 and 16,044.77 is: 22,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,144 : 38,840.82 = 16,044.77 : x
  2. Step 2: Convert to fraction form
    28,144/38,840.82 = 16,044.77/x
  3. Step 3: Cross multiply
    28,144x = 38,840.82 × 16,044.77
  4. Step 4: Simplify right side
    28,144x = 623,192,023.51
  5. Step 5: Solve for x
    x = 623,192,023.51/28,144
  6. Step 6: Final answer
    x = 22,142.98

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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.