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Finding the Fourth Proportional to 12,013.57, 16,574.33 and 7,535.69

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Solution

The fourth proportional to 12,013.57, 16,574.33 and 7,535.69 is: 10,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.57 : 16,574.33 = 7,535.69 : x
  2. Step 2: Convert to fraction form
    12,013.57/16,574.33 = 7,535.69/x
  3. Step 3: Cross multiply
    12,013.57x = 16,574.33 × 7,535.69
  4. Step 4: Simplify right side
    12,013.57x = 124,899,012.84
  5. Step 5: Solve for x
    x = 124,899,012.84/12,013.57
  6. Step 6: Final answer
    x = 10,396.49

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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.