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Finding the Fourth Proportional to 19,968.88, 29,956.96 and 8,283.02

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Solution

The fourth proportional to 19,968.88, 29,956.96 and 8,283.02 is: 12,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,968.88 : 29,956.96 = 8,283.02 : x
  2. Step 2: Convert to fraction form
    19,968.88/29,956.96 = 8,283.02/x
  3. Step 3: Cross multiply
    19,968.88x = 29,956.96 × 8,283.02
  4. Step 4: Simplify right side
    19,968.88x = 248,134,098.82
  5. Step 5: Solve for x
    x = 248,134,098.82/19,968.88
  6. Step 6: Final answer
    x = 12,426.04

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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.