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Finding the Fourth Proportional to 14,516.78, 20,014.36 and 9,403.20

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Solution

The fourth proportional to 14,516.78, 20,014.36 and 9,403.20 is: 12,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.78 : 20,014.36 = 9,403.20 : x
  2. Step 2: Convert to fraction form
    14,516.78/20,014.36 = 9,403.20/x
  3. Step 3: Cross multiply
    14,516.78x = 20,014.36 × 9,403.20
  4. Step 4: Simplify right side
    14,516.78x = 188,199,029.95
  5. Step 5: Solve for x
    x = 188,199,029.95/14,516.78
  6. Step 6: Final answer
    x = 12,964.24

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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.