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Finding the Fourth Proportional to 14,066.13, 19,411.86 and 7,778.50

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Solution

The fourth proportional to 14,066.13, 19,411.86 and 7,778.50 is: 10,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066.13 : 19,411.86 = 7,778.50 : x
  2. Step 2: Convert to fraction form
    14,066.13/19,411.86 = 7,778.50/x
  3. Step 3: Cross multiply
    14,066.13x = 19,411.86 × 7,778.50
  4. Step 4: Simplify right side
    14,066.13x = 150,995,153.01
  5. Step 5: Solve for x
    x = 150,995,153.01/14,066.13
  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.