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Finding the Fourth Proportional to 22,758, 34,141.80 and 6,964.32

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Solution

The fourth proportional to 22,758, 34,141.80 and 6,964.32 is: 10,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758 : 34,141.80 = 6,964.32 : x
  2. Step 2: Convert to fraction form
    22,758/34,141.80 = 6,964.32/x
  3. Step 3: Cross multiply
    22,758x = 34,141.80 × 6,964.32
  4. Step 4: Simplify right side
    22,758x = 237,774,420.58
  5. Step 5: Solve for x
    x = 237,774,420.58/22,758
  6. Step 6: Final answer
    x = 10,447.95

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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.