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Finding the Fourth Proportional to 14,926.24, 20,597.92 and 8,211.48

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Solution

The fourth proportional to 14,926.24, 20,597.92 and 8,211.48 is: 11,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,926.24 : 20,597.92 = 8,211.48 : x
  2. Step 2: Convert to fraction form
    14,926.24/20,597.92 = 8,211.48/x
  3. Step 3: Cross multiply
    14,926.24x = 20,597.92 × 8,211.48
  4. Step 4: Simplify right side
    14,926.24x = 169,139,408.12
  5. Step 5: Solve for x
    x = 169,139,408.12/14,926.24
  6. Step 6: Final answer
    x = 11,331.68

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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.