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Finding the Fourth Proportional to 14,080.98, 19,431.06 and 8,031.46

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Solution

The fourth proportional to 14,080.98, 19,431.06 and 8,031.46 is: 11,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.98 : 19,431.06 = 8,031.46 : x
  2. Step 2: Convert to fraction form
    14,080.98/19,431.06 = 8,031.46/x
  3. Step 3: Cross multiply
    14,080.98x = 19,431.06 × 8,031.46
  4. Step 4: Simplify right side
    14,080.98x = 156,059,781.15
  5. Step 5: Solve for x
    x = 156,059,781.15/14,080.98
  6. Step 6: Final answer
    x = 11,083.02

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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.