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Finding the Fourth Proportional to 12,013.85, 16,573.37 and 7,535.36

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Solution

The fourth proportional to 12,013.85, 16,573.37 and 7,535.36 is: 10,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.85 : 16,573.37 = 7,535.36 : x
  2. Step 2: Convert to fraction form
    12,013.85/16,573.37 = 7,535.36/x
  3. Step 3: Cross multiply
    12,013.85x = 16,573.37 × 7,535.36
  4. Step 4: Simplify right side
    12,013.85x = 124,886,313.12
  5. Step 5: Solve for x
    x = 124,886,313.12/12,013.85
  6. Step 6: Final answer
    x = 10,395.19

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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.