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Finding the Fourth Proportional to 24,658.07, 36,991.96 and 8,017.02

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Solution

The fourth proportional to 24,658.07, 36,991.96 and 8,017.02 is: 12,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658.07 : 36,991.96 = 8,017.02 : x
  2. Step 2: Convert to fraction form
    24,658.07/36,991.96 = 8,017.02/x
  3. Step 3: Cross multiply
    24,658.07x = 36,991.96 × 8,017.02
  4. Step 4: Simplify right side
    24,658.07x = 296,565,283.16
  5. Step 5: Solve for x
    x = 296,565,283.16/24,658.07
  6. Step 6: Final answer
    x = 12,027.11

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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.