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Finding the Fourth Proportional to 14,140.71, 19,513.31 and 7,766.06

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Solution

The fourth proportional to 14,140.71, 19,513.31 and 7,766.06 is: 10,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.71 : 19,513.31 = 7,766.06 : x
  2. Step 2: Convert to fraction form
    14,140.71/19,513.31 = 7,766.06/x
  3. Step 3: Cross multiply
    14,140.71x = 19,513.31 × 7,766.06
  4. Step 4: Simplify right side
    14,140.71x = 151,541,476.45
  5. Step 5: Solve for x
    x = 151,541,476.45/14,140.71
  6. Step 6: Final answer
    x = 10,716.68

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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.