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Finding the Fourth Proportional to 12,008.98, 16,561.49 and 7,533.14

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Solution

The fourth proportional to 12,008.98, 16,561.49 and 7,533.14 is: 10,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.98 : 16,561.49 = 7,533.14 : x
  2. Step 2: Convert to fraction form
    12,008.98/16,561.49 = 7,533.14/x
  3. Step 3: Cross multiply
    12,008.98x = 16,561.49 × 7,533.14
  4. Step 4: Simplify right side
    12,008.98x = 124,760,022.78
  5. Step 5: Solve for x
    x = 124,760,022.78/12,008.98
  6. Step 6: Final answer
    x = 10,388.89

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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.