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Finding the Fourth Proportional to 14,778.12, 20,375.07 and 9,463.98

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Solution

The fourth proportional to 14,778.12, 20,375.07 and 9,463.98 is: 13,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.12 : 20,375.07 = 9,463.98 : x
  2. Step 2: Convert to fraction form
    14,778.12/20,375.07 = 9,463.98/x
  3. Step 3: Cross multiply
    14,778.12x = 20,375.07 × 9,463.98
  4. Step 4: Simplify right side
    14,778.12x = 192,829,254.98
  5. Step 5: Solve for x
    x = 192,829,254.98/14,778.12
  6. Step 6: Final answer
    x = 13,048.29

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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.