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Finding the Fourth Proportional to 24,660.69, 36,994.61 and 7,787.98

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Solution

The fourth proportional to 24,660.69, 36,994.61 and 7,787.98 is: 11,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,660.69 : 36,994.61 = 7,787.98 : x
  2. Step 2: Convert to fraction form
    24,660.69/36,994.61 = 7,787.98/x
  3. Step 3: Cross multiply
    24,660.69x = 36,994.61 × 7,787.98
  4. Step 4: Simplify right side
    24,660.69x = 288,113,304.69
  5. Step 5: Solve for x
    x = 288,113,304.69/24,660.69
  6. Step 6: Final answer
    x = 11,683.10

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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.