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Finding the Fourth Proportional to 20,065.68, 27,688.50 and 11,567.70

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Solution

The fourth proportional to 20,065.68, 27,688.50 and 11,567.70 is: 15,962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,065.68 : 27,688.50 = 11,567.70 : x
  2. Step 2: Convert to fraction form
    20,065.68/27,688.50 = 11,567.70/x
  3. Step 3: Cross multiply
    20,065.68x = 27,688.50 × 11,567.70
  4. Step 4: Simplify right side
    20,065.68x = 320,292,261.45
  5. Step 5: Solve for x
    x = 320,292,261.45/20,065.68
  6. Step 6: Final answer
    x = 15,962.19

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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.