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Finding the Fourth Proportional to 12,411.40, 18,620.10 and 3,646.30

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Solution

The fourth proportional to 12,411.40, 18,620.10 and 3,646.30 is: 5,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.40 : 18,620.10 = 3,646.30 : x
  2. Step 2: Convert to fraction form
    12,411.40/18,620.10 = 3,646.30/x
  3. Step 3: Cross multiply
    12,411.40x = 18,620.10 × 3,646.30
  4. Step 4: Simplify right side
    12,411.40x = 67,894,470.63
  5. Step 5: Solve for x
    x = 67,894,470.63/12,411.40
  6. Step 6: Final answer
    x = 5,470.33

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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.