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Finding the Fourth Proportional to 14,182.71, 21,274.07 and 6,382.41

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Solution

The fourth proportional to 14,182.71, 21,274.07 and 6,382.41 is: 9,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.71 : 21,274.07 = 6,382.41 : x
  2. Step 2: Convert to fraction form
    14,182.71/21,274.07 = 6,382.41/x
  3. Step 3: Cross multiply
    14,182.71x = 21,274.07 × 6,382.41
  4. Step 4: Simplify right side
    14,182.71x = 135,779,837.11
  5. Step 5: Solve for x
    x = 135,779,837.11/14,182.71
  6. Step 6: Final answer
    x = 9,573.62

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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.