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Finding the Fourth Proportional to 12,426.77, 18,634.68 and 6,582.02

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Solution

The fourth proportional to 12,426.77, 18,634.68 and 6,582.02 is: 9,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.77 : 18,634.68 = 6,582.02 : x
  2. Step 2: Convert to fraction form
    12,426.77/18,634.68 = 6,582.02/x
  3. Step 3: Cross multiply
    12,426.77x = 18,634.68 × 6,582.02
  4. Step 4: Simplify right side
    12,426.77x = 122,653,743.28
  5. Step 5: Solve for x
    x = 122,653,743.28/12,426.77
  6. Step 6: Final answer
    x = 9,870.13

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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.