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Finding the Fourth Proportional to 12,191.65, 16,822.42 and 7,410.77

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Solution

The fourth proportional to 12,191.65, 16,822.42 and 7,410.77 is: 10,225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.65 : 16,822.42 = 7,410.77 : x
  2. Step 2: Convert to fraction form
    12,191.65/16,822.42 = 7,410.77/x
  3. Step 3: Cross multiply
    12,191.65x = 16,822.42 × 7,410.77
  4. Step 4: Simplify right side
    12,191.65x = 124,667,085.46
  5. Step 5: Solve for x
    x = 124,667,085.46/12,191.65
  6. Step 6: Final answer
    x = 10,225.61

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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.