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Finding the Fourth Proportional to 24,770.36, 37,156.77 and 8,123.66

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Solution

The fourth proportional to 24,770.36, 37,156.77 and 8,123.66 is: 12,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770.36 : 37,156.77 = 8,123.66 : x
  2. Step 2: Convert to fraction form
    24,770.36/37,156.77 = 8,123.66/x
  3. Step 3: Cross multiply
    24,770.36x = 37,156.77 × 8,123.66
  4. Step 4: Simplify right side
    24,770.36x = 301,848,966.18
  5. Step 5: Solve for x
    x = 301,848,966.18/24,770.36
  6. Step 6: Final answer
    x = 12,185.89

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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.