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Finding the Fourth Proportional to 14,348.94, 19,802.86 and 8,382.54

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Solution

The fourth proportional to 14,348.94, 19,802.86 and 8,382.54 is: 11,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348.94 : 19,802.86 = 8,382.54 : x
  2. Step 2: Convert to fraction form
    14,348.94/19,802.86 = 8,382.54/x
  3. Step 3: Cross multiply
    14,348.94x = 19,802.86 × 8,382.54
  4. Step 4: Simplify right side
    14,348.94x = 165,998,266.06
  5. Step 5: Solve for x
    x = 165,998,266.06/14,348.94
  6. Step 6: Final answer
    x = 11,568.68

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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.