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Finding the Fourth Proportional to 19,853.17, 29,773.14 and 8,003.88

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Solution

The fourth proportional to 19,853.17, 29,773.14 and 8,003.88 is: 12,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.17 : 29,773.14 = 8,003.88 : x
  2. Step 2: Convert to fraction form
    19,853.17/29,773.14 = 8,003.88/x
  3. Step 3: Cross multiply
    19,853.17x = 29,773.14 × 8,003.88
  4. Step 4: Simplify right side
    19,853.17x = 238,300,609.77
  5. Step 5: Solve for x
    x = 238,300,609.77/19,853.17
  6. Step 6: Final answer
    x = 12,003.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.