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Finding the Fourth Proportional to 13,670.29, 20,498.14 and 7,080.13

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Solution

The fourth proportional to 13,670.29, 20,498.14 and 7,080.13 is: 10,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.29 : 20,498.14 = 7,080.13 : x
  2. Step 2: Convert to fraction form
    13,670.29/20,498.14 = 7,080.13/x
  3. Step 3: Cross multiply
    13,670.29x = 20,498.14 × 7,080.13
  4. Step 4: Simplify right side
    13,670.29x = 145,129,495.96
  5. Step 5: Solve for x
    x = 145,129,495.96/13,670.29
  6. Step 6: Final answer
    x = 10,616.42

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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.