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Finding the Fourth Proportional to 13,033.88, 19,501.61 and 8,080.32

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Solution

The fourth proportional to 13,033.88, 19,501.61 and 8,080.32 is: 12,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.88 : 19,501.61 = 8,080.32 : x
  2. Step 2: Convert to fraction form
    13,033.88/19,501.61 = 8,080.32/x
  3. Step 3: Cross multiply
    13,033.88x = 19,501.61 × 8,080.32
  4. Step 4: Simplify right side
    13,033.88x = 157,579,208.91
  5. Step 5: Solve for x
    x = 157,579,208.91/13,033.88
  6. Step 6: Final answer
    x = 12,089.97

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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.