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Finding the Fourth Proportional to 13,034.13, 19,501.98 and 8,080.57

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Solution

The fourth proportional to 13,034.13, 19,501.98 and 8,080.57 is: 12,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.13 : 19,501.98 = 8,080.57 : x
  2. Step 2: Convert to fraction form
    13,034.13/19,501.98 = 8,080.57/x
  3. Step 3: Cross multiply
    13,034.13x = 19,501.98 × 8,080.57
  4. Step 4: Simplify right side
    13,034.13x = 157,587,114.53
  5. Step 5: Solve for x
    x = 157,587,114.53/13,034.13
  6. Step 6: Final answer
    x = 12,090.35

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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.