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Finding the Fourth Proportional to 12,271.13, 18,410.19 and 6,033.02

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Solution

The fourth proportional to 12,271.13, 18,410.19 and 6,033.02 is: 9,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.13 : 18,410.19 = 6,033.02 : x
  2. Step 2: Convert to fraction form
    12,271.13/18,410.19 = 6,033.02/x
  3. Step 3: Cross multiply
    12,271.13x = 18,410.19 × 6,033.02
  4. Step 4: Simplify right side
    12,271.13x = 111,069,044.47
  5. Step 5: Solve for x
    x = 111,069,044.47/12,271.13
  6. Step 6: Final answer
    x = 9,051.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.