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Finding the Fourth Proportional to 12,194.80, 18,292.10 and 3,875.47

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Solution

The fourth proportional to 12,194.80, 18,292.10 and 3,875.47 is: 5,813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.80 : 18,292.10 = 3,875.47 : x
  2. Step 2: Convert to fraction form
    12,194.80/18,292.10 = 3,875.47/x
  3. Step 3: Cross multiply
    12,194.80x = 18,292.10 × 3,875.47
  4. Step 4: Simplify right side
    12,194.80x = 70,890,484.79
  5. Step 5: Solve for x
    x = 70,890,484.79/12,194.80
  6. Step 6: Final answer
    x = 5,813.17

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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.