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Finding the Fourth Proportional to 12,053.64, 16,634.11 and 7,020.80

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Solution

The fourth proportional to 12,053.64, 16,634.11 and 7,020.80 is: 9,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.64 : 16,634.11 = 7,020.80 : x
  2. Step 2: Convert to fraction form
    12,053.64/16,634.11 = 7,020.80/x
  3. Step 3: Cross multiply
    12,053.64x = 16,634.11 × 7,020.80
  4. Step 4: Simplify right side
    12,053.64x = 116,784,759.49
  5. Step 5: Solve for x
    x = 116,784,759.49/12,053.64
  6. Step 6: Final answer
    x = 9,688.75

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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.