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Finding the Fourth Proportional to 14,013.54, 19,327.75 and 8,978.23

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Solution

The fourth proportional to 14,013.54, 19,327.75 and 8,978.23 is: 12,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013.54 : 19,327.75 = 8,978.23 : x
  2. Step 2: Convert to fraction form
    14,013.54/19,327.75 = 8,978.23/x
  3. Step 3: Cross multiply
    14,013.54x = 19,327.75 × 8,978.23
  4. Step 4: Simplify right side
    14,013.54x = 173,528,939.99
  5. Step 5: Solve for x
    x = 173,528,939.99/14,013.54
  6. Step 6: Final answer
    x = 12,382.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.