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Finding the Fourth Proportional to 22,964.64, 34,427.52 and 9,106.08

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Solution

The fourth proportional to 22,964.64, 34,427.52 and 9,106.08 is: 13,651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.64 : 34,427.52 = 9,106.08 : x
  2. Step 2: Convert to fraction form
    22,964.64/34,427.52 = 9,106.08/x
  3. Step 3: Cross multiply
    22,964.64x = 34,427.52 × 9,106.08
  4. Step 4: Simplify right side
    22,964.64x = 313,499,751.32
  5. Step 5: Solve for x
    x = 313,499,751.32/22,964.64
  6. Step 6: Final answer
    x = 13,651.41

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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.