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Finding the Fourth Proportional to 20,057.76, 27,647.76 and 15,802.08

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Solution

The fourth proportional to 20,057.76, 27,647.76 and 15,802.08 is: 21,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.76 : 27,647.76 = 15,802.08 : x
  2. Step 2: Convert to fraction form
    20,057.76/27,647.76 = 15,802.08/x
  3. Step 3: Cross multiply
    20,057.76x = 27,647.76 × 15,802.08
  4. Step 4: Simplify right side
    20,057.76x = 436,892,115.34
  5. Step 5: Solve for x
    x = 436,892,115.34/20,057.76
  6. Step 6: Final answer
    x = 21,781.70

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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.