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Finding the Fourth Proportional to 19,775.68, 27,281.22 and 11,387.32

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Solution

The fourth proportional to 19,775.68, 27,281.22 and 11,387.32 is: 15,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.68 : 27,281.22 = 11,387.32 : x
  2. Step 2: Convert to fraction form
    19,775.68/27,281.22 = 11,387.32/x
  3. Step 3: Cross multiply
    19,775.68x = 27,281.22 × 11,387.32
  4. Step 4: Simplify right side
    19,775.68x = 310,659,982.13
  5. Step 5: Solve for x
    x = 310,659,982.13/19,775.68
  6. Step 6: Final answer
    x = 15,709.19

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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.