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Finding the Fourth Proportional to 14,066.60, 19,411.83 and 7,778.97

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Solution

The fourth proportional to 14,066.60, 19,411.83 and 7,778.97 is: 10,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066.60 : 19,411.83 = 7,778.97 : x
  2. Step 2: Convert to fraction form
    14,066.60/19,411.83 = 7,778.97/x
  3. Step 3: Cross multiply
    14,066.60x = 19,411.83 × 7,778.97
  4. Step 4: Simplify right side
    14,066.60x = 151,004,043.22
  5. Step 5: Solve for x
    x = 151,004,043.22/14,066.60
  6. Step 6: Final answer
    x = 10,734.94

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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.