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Finding the Fourth Proportional to 20,166.90, 27,830.06 and 11,214.08

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Solution

The fourth proportional to 20,166.90, 27,830.06 and 11,214.08 is: 15,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166.90 : 27,830.06 = 11,214.08 : x
  2. Step 2: Convert to fraction form
    20,166.90/27,830.06 = 11,214.08/x
  3. Step 3: Cross multiply
    20,166.90x = 27,830.06 × 11,214.08
  4. Step 4: Simplify right side
    20,166.90x = 312,088,519.24
  5. Step 5: Solve for x
    x = 312,088,519.24/20,166.90
  6. Step 6: Final answer
    x = 15,475.28

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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.