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Finding the Fourth Proportional to 12,325.71, 18,491.49 and 4,005.73

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Solution

The fourth proportional to 12,325.71, 18,491.49 and 4,005.73 is: 6,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325.71 : 18,491.49 = 4,005.73 : x
  2. Step 2: Convert to fraction form
    12,325.71/18,491.49 = 4,005.73/x
  3. Step 3: Cross multiply
    12,325.71x = 18,491.49 × 4,005.73
  4. Step 4: Simplify right side
    12,325.71x = 74,071,916.24
  5. Step 5: Solve for x
    x = 74,071,916.24/12,325.71
  6. Step 6: Final answer
    x = 6,009.55

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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.