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Finding the Fourth Proportional to 13,066.68, 18,019.72 and 10,077.78

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Solution

The fourth proportional to 13,066.68, 18,019.72 and 10,077.78 is: 13,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.68 : 18,019.72 = 10,077.78 : x
  2. Step 2: Convert to fraction form
    13,066.68/18,019.72 = 10,077.78/x
  3. Step 3: Cross multiply
    13,066.68x = 18,019.72 × 10,077.78
  4. Step 4: Simplify right side
    13,066.68x = 181,598,773.82
  5. Step 5: Solve for x
    x = 181,598,773.82/13,066.68
  6. Step 6: Final answer
    x = 13,897.85

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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.