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Finding the Fourth Proportional to 20,207.59, 27,887.25 and 11,710

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Solution

The fourth proportional to 20,207.59, 27,887.25 and 11,710 is: 16,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207.59 : 27,887.25 = 11,710 : x
  2. Step 2: Convert to fraction form
    20,207.59/27,887.25 = 11,710/x
  3. Step 3: Cross multiply
    20,207.59x = 27,887.25 × 11,710
  4. Step 4: Simplify right side
    20,207.59x = 326,559,697.50
  5. Step 5: Solve for x
    x = 326,559,697.50/20,207.59
  6. Step 6: Final answer
    x = 16,160.25

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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.