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Finding the Fourth Proportional to 20,898.24, 28,839.36 and 11,466.24

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Solution

The fourth proportional to 20,898.24, 28,839.36 and 11,466.24 is: 15,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898.24 : 28,839.36 = 11,466.24 : x
  2. Step 2: Convert to fraction form
    20,898.24/28,839.36 = 11,466.24/x
  3. Step 3: Cross multiply
    20,898.24x = 28,839.36 × 11,466.24
  4. Step 4: Simplify right side
    20,898.24x = 330,679,023.21
  5. Step 5: Solve for x
    x = 330,679,023.21/20,898.24
  6. Step 6: Final answer
    x = 15,823.30

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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.