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Finding the Fourth Proportional to 19,743.27, 29,623.14 and 8,657.93

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Solution

The fourth proportional to 19,743.27, 29,623.14 and 8,657.93 is: 12,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743.27 : 29,623.14 = 8,657.93 : x
  2. Step 2: Convert to fraction form
    19,743.27/29,623.14 = 8,657.93/x
  3. Step 3: Cross multiply
    19,743.27x = 29,623.14 × 8,657.93
  4. Step 4: Simplify right side
    19,743.27x = 256,474,924.38
  5. Step 5: Solve for x
    x = 256,474,924.38/19,743.27
  6. Step 6: Final answer
    x = 12,990.50

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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.