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Finding the Fourth Proportional to 14,066.41, 19,411.50 and 7,778.80

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Solution

The fourth proportional to 14,066.41, 19,411.50 and 7,778.80 is: 10,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066.41 : 19,411.50 = 7,778.80 : x
  2. Step 2: Convert to fraction form
    14,066.41/19,411.50 = 7,778.80/x
  3. Step 3: Cross multiply
    14,066.41x = 19,411.50 × 7,778.80
  4. Step 4: Simplify right side
    14,066.41x = 150,998,176.20
  5. Step 5: Solve for x
    x = 150,998,176.20/14,066.41
  6. Step 6: Final answer
    x = 10,734.66

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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.