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Finding the Fourth Proportional to 20,583.30, 28,407.47 and 13,420.88

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Solution

The fourth proportional to 20,583.30, 28,407.47 and 13,420.88 is: 18,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,583.30 : 28,407.47 = 13,420.88 : x
  2. Step 2: Convert to fraction form
    20,583.30/28,407.47 = 13,420.88/x
  3. Step 3: Cross multiply
    20,583.30x = 28,407.47 × 13,420.88
  4. Step 4: Simplify right side
    20,583.30x = 381,253,245.97
  5. Step 5: Solve for x
    x = 381,253,245.97/20,583.30
  6. Step 6: Final answer
    x = 18,522.45

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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.