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Finding the Fourth Proportional to 12,006.94, 16,568.78 and 7,530.50

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Solution

The fourth proportional to 12,006.94, 16,568.78 and 7,530.50 is: 10,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.94 : 16,568.78 = 7,530.50 : x
  2. Step 2: Convert to fraction form
    12,006.94/16,568.78 = 7,530.50/x
  3. Step 3: Cross multiply
    12,006.94x = 16,568.78 × 7,530.50
  4. Step 4: Simplify right side
    12,006.94x = 124,771,197.79
  5. Step 5: Solve for x
    x = 124,771,197.79/12,006.94
  6. Step 6: Final answer
    x = 10,391.59

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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.