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Finding the Fourth Proportional to 19,753.98, 29,631.54 and 8,654.94

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Solution

The fourth proportional to 19,753.98, 29,631.54 and 8,654.94 is: 12,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,753.98 : 29,631.54 = 8,654.94 : x
  2. Step 2: Convert to fraction form
    19,753.98/29,631.54 = 8,654.94/x
  3. Step 3: Cross multiply
    19,753.98x = 29,631.54 × 8,654.94
  4. Step 4: Simplify right side
    19,753.98x = 256,459,200.81
  5. Step 5: Solve for x
    x = 256,459,200.81/19,753.98
  6. Step 6: Final answer
    x = 12,982.66

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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.