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Finding the Fourth Proportional to 24,196.92, 36,300.51 and 8,614.50

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Solution

The fourth proportional to 24,196.92, 36,300.51 and 8,614.50 is: 12,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196.92 : 36,300.51 = 8,614.50 : x
  2. Step 2: Convert to fraction form
    24,196.92/36,300.51 = 8,614.50/x
  3. Step 3: Cross multiply
    24,196.92x = 36,300.51 × 8,614.50
  4. Step 4: Simplify right side
    24,196.92x = 312,710,743.40
  5. Step 5: Solve for x
    x = 312,710,743.40/24,196.92
  6. Step 6: Final answer
    x = 12,923.58

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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.