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Finding the Fourth Proportional to 14,319.43, 19,760.74 and 8,031.81

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Solution

The fourth proportional to 14,319.43, 19,760.74 and 8,031.81 is: 11,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.43 : 19,760.74 = 8,031.81 : x
  2. Step 2: Convert to fraction form
    14,319.43/19,760.74 = 8,031.81/x
  3. Step 3: Cross multiply
    14,319.43x = 19,760.74 × 8,031.81
  4. Step 4: Simplify right side
    14,319.43x = 158,714,509.14
  5. Step 5: Solve for x
    x = 158,714,509.14/14,319.43
  6. Step 6: Final answer
    x = 11,083.86

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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.