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Finding the Fourth Proportional to 14,066.24, 19,411.08 and 7,778.48

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Solution

The fourth proportional to 14,066.24, 19,411.08 and 7,778.48 is: 10,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066.24 : 19,411.08 = 7,778.48 : x
  2. Step 2: Convert to fraction form
    14,066.24/19,411.08 = 7,778.48/x
  3. Step 3: Cross multiply
    14,066.24x = 19,411.08 × 7,778.48
  4. Step 4: Simplify right side
    14,066.24x = 150,988,697.56
  5. Step 5: Solve for x
    x = 150,988,697.56/14,066.24
  6. Step 6: Final answer
    x = 10,734.12

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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.