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Finding the Fourth Proportional to 20,635.64, 28,477.76 and 11,204.80

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Solution

The fourth proportional to 20,635.64, 28,477.76 and 11,204.80 is: 15,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,635.64 : 28,477.76 = 11,204.80 : x
  2. Step 2: Convert to fraction form
    20,635.64/28,477.76 = 11,204.80/x
  3. Step 3: Cross multiply
    20,635.64x = 28,477.76 × 11,204.80
  4. Step 4: Simplify right side
    20,635.64x = 319,087,605.25
  5. Step 5: Solve for x
    x = 319,087,605.25/20,635.64
  6. Step 6: Final answer
    x = 15,462.94

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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.