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Finding the Fourth Proportional to 14,778.54, 20,388.60 and 9,745.47

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Solution

The fourth proportional to 14,778.54, 20,388.60 and 9,745.47 is: 13,444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.54 : 20,388.60 = 9,745.47 : x
  2. Step 2: Convert to fraction form
    14,778.54/20,388.60 = 9,745.47/x
  3. Step 3: Cross multiply
    14,778.54x = 20,388.60 × 9,745.47
  4. Step 4: Simplify right side
    14,778.54x = 198,696,489.64
  5. Step 5: Solve for x
    x = 198,696,489.64/14,778.54
  6. Step 6: Final answer
    x = 13,444.93

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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.