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Finding the Fourth Proportional to 15,946.66, 23,923.64 and 8,029.42

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Solution

The fourth proportional to 15,946.66, 23,923.64 and 8,029.42 is: 12,045.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.66 : 23,923.64 = 8,029.42 : x
  2. Step 2: Convert to fraction form
    15,946.66/23,923.64 = 8,029.42/x
  3. Step 3: Cross multiply
    15,946.66x = 23,923.64 × 8,029.42
  4. Step 4: Simplify right side
    15,946.66x = 192,092,953.49
  5. Step 5: Solve for x
    x = 192,092,953.49/15,946.66
  6. Step 6: Final answer
    x = 12,045.97

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