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Finding the Fourth Proportional to 20,602.68, 28,420.74 and 12,538.80

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Solution

The fourth proportional to 20,602.68, 28,420.74 and 12,538.80 is: 17,296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,602.68 : 28,420.74 = 12,538.80 : x
  2. Step 2: Convert to fraction form
    20,602.68/28,420.74 = 12,538.80/x
  3. Step 3: Cross multiply
    20,602.68x = 28,420.74 × 12,538.80
  4. Step 4: Simplify right side
    20,602.68x = 356,361,974.71
  5. Step 5: Solve for x
    x = 356,361,974.71/20,602.68
  6. Step 6: Final answer
    x = 17,296.87

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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.