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Finding the Fourth Proportional to 12,123, 16,727.80 and 7,342.12

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Solution

The fourth proportional to 12,123, 16,727.80 and 7,342.12 is: 10,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123 : 16,727.80 = 7,342.12 : x
  2. Step 2: Convert to fraction form
    12,123/16,727.80 = 7,342.12/x
  3. Step 3: Cross multiply
    12,123x = 16,727.80 × 7,342.12
  4. Step 4: Simplify right side
    12,123x = 122,817,514.94
  5. Step 5: Solve for x
    x = 122,817,514.94/12,123
  6. Step 6: Final answer
    x = 10,130.95

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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.