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Finding the Fourth Proportional to 24,228.45, 36,339.98 and 6,696

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Solution

The fourth proportional to 24,228.45, 36,339.98 and 6,696 is: 10,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228.45 : 36,339.98 = 6,696 : x
  2. Step 2: Convert to fraction form
    24,228.45/36,339.98 = 6,696/x
  3. Step 3: Cross multiply
    24,228.45x = 36,339.98 × 6,696
  4. Step 4: Simplify right side
    24,228.45x = 243,332,472.60
  5. Step 5: Solve for x
    x = 243,332,472.60/24,228.45
  6. Step 6: Final answer
    x = 10,043.25

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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.