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Finding the Fourth Proportional to 24,322.16, 36,477.88 and 6,787.28

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Solution

The fourth proportional to 24,322.16, 36,477.88 and 6,787.28 is: 10,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322.16 : 36,477.88 = 6,787.28 : x
  2. Step 2: Convert to fraction form
    24,322.16/36,477.88 = 6,787.28/x
  3. Step 3: Cross multiply
    24,322.16x = 36,477.88 × 6,787.28
  4. Step 4: Simplify right side
    24,322.16x = 247,585,585.37
  5. Step 5: Solve for x
    x = 247,585,585.37/24,322.16
  6. Step 6: Final answer
    x = 10,179.42

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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.