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Finding the Fourth Proportional to 12,277.37, 16,924.95 and 8,494.77

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Solution

The fourth proportional to 12,277.37, 16,924.95 and 8,494.77 is: 11,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.37 : 16,924.95 = 8,494.77 : x
  2. Step 2: Convert to fraction form
    12,277.37/16,924.95 = 8,494.77/x
  3. Step 3: Cross multiply
    12,277.37x = 16,924.95 × 8,494.77
  4. Step 4: Simplify right side
    12,277.37x = 143,773,620.98
  5. Step 5: Solve for x
    x = 143,773,620.98/12,277.37
  6. Step 6: Final answer
    x = 11,710.46

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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.