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Finding the Fourth Proportional to 19,881.46, 29,822.16 and 5,090.38

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Solution

The fourth proportional to 19,881.46, 29,822.16 and 5,090.38 is: 7,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.46 : 29,822.16 = 5,090.38 : x
  2. Step 2: Convert to fraction form
    19,881.46/29,822.16 = 5,090.38/x
  3. Step 3: Cross multiply
    19,881.46x = 29,822.16 × 5,090.38
  4. Step 4: Simplify right side
    19,881.46x = 151,806,126.82
  5. Step 5: Solve for x
    x = 151,806,126.82/19,881.46
  6. Step 6: Final answer
    x = 7,635.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.