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Finding the Fourth Proportional to 12,406.74, 18,607.59 and 3,639.30

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Solution

The fourth proportional to 12,406.74, 18,607.59 and 3,639.30 is: 5,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.74 : 18,607.59 = 3,639.30 : x
  2. Step 2: Convert to fraction form
    12,406.74/18,607.59 = 3,639.30/x
  3. Step 3: Cross multiply
    12,406.74x = 18,607.59 × 3,639.30
  4. Step 4: Simplify right side
    12,406.74x = 67,718,602.29
  5. Step 5: Solve for x
    x = 67,718,602.29/12,406.74
  6. Step 6: Final answer
    x = 5,458.21

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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.