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Finding the Fourth Proportional to 14,838.39, 20,499.08 and 9,745.92

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Solution

The fourth proportional to 14,838.39, 20,499.08 and 9,745.92 is: 13,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.39 : 20,499.08 = 9,745.92 : x
  2. Step 2: Convert to fraction form
    14,838.39/20,499.08 = 9,745.92/x
  3. Step 3: Cross multiply
    14,838.39x = 20,499.08 × 9,745.92
  4. Step 4: Simplify right side
    14,838.39x = 199,782,345.02
  5. Step 5: Solve for x
    x = 199,782,345.02/14,838.39
  6. Step 6: Final answer
    x = 13,463.88

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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.