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Finding the Fourth Proportional to 14,602.74, 20,152.97 and 8,229.77

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Solution

The fourth proportional to 14,602.74, 20,152.97 and 8,229.77 is: 11,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.74 : 20,152.97 = 8,229.77 : x
  2. Step 2: Convert to fraction form
    14,602.74/20,152.97 = 8,229.77/x
  3. Step 3: Cross multiply
    14,602.74x = 20,152.97 × 8,229.77
  4. Step 4: Simplify right side
    14,602.74x = 165,854,262.19
  5. Step 5: Solve for x
    x = 165,854,262.19/14,602.74
  6. Step 6: Final answer
    x = 11,357.75

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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.