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Finding the Fourth Proportional to 13,181.68, 19,775.28 and 5,390.50

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Solution

The fourth proportional to 13,181.68, 19,775.28 and 5,390.50 is: 8,086.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.68 : 19,775.28 = 5,390.50 : x
  2. Step 2: Convert to fraction form
    13,181.68/19,775.28 = 5,390.50/x
  3. Step 3: Cross multiply
    13,181.68x = 19,775.28 × 5,390.50
  4. Step 4: Simplify right side
    13,181.68x = 106,598,646.84
  5. Step 5: Solve for x
    x = 106,598,646.84/13,181.68
  6. Step 6: Final answer
    x = 8,086.88

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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.