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Finding the Fourth Proportional to 14,771.64, 20,384.36 and 8,800.22

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Solution

The fourth proportional to 14,771.64, 20,384.36 and 8,800.22 is: 12,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.64 : 20,384.36 = 8,800.22 : x
  2. Step 2: Convert to fraction form
    14,771.64/20,384.36 = 8,800.22/x
  3. Step 3: Cross multiply
    14,771.64x = 20,384.36 × 8,800.22
  4. Step 4: Simplify right side
    14,771.64x = 179,386,852.56
  5. Step 5: Solve for x
    x = 179,386,852.56/14,771.64
  6. Step 6: Final answer
    x = 12,144.00

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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.