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Finding the Fourth Proportional to 20,595.84, 28,422.24 and 11,164.32

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Solution

The fourth proportional to 20,595.84, 28,422.24 and 11,164.32 is: 15,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,595.84 : 28,422.24 = 11,164.32 : x
  2. Step 2: Convert to fraction form
    20,595.84/28,422.24 = 11,164.32/x
  3. Step 3: Cross multiply
    20,595.84x = 28,422.24 × 11,164.32
  4. Step 4: Simplify right side
    20,595.84x = 317,314,982.48
  5. Step 5: Solve for x
    x = 317,314,982.48/20,595.84
  6. Step 6: Final answer
    x = 15,406.75

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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.