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Finding the Fourth Proportional to 12,033.12, 16,610.76 and 7,319.04

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Solution

The fourth proportional to 12,033.12, 16,610.76 and 7,319.04 is: 10,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.12 : 16,610.76 = 7,319.04 : x
  2. Step 2: Convert to fraction form
    12,033.12/16,610.76 = 7,319.04/x
  3. Step 3: Cross multiply
    12,033.12x = 16,610.76 × 7,319.04
  4. Step 4: Simplify right side
    12,033.12x = 121,574,816.87
  5. Step 5: Solve for x
    x = 121,574,816.87/12,033.12
  6. Step 6: Final answer
    x = 10,103.35

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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.