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Finding the Fourth Proportional to 17,068, 25,602.27 and 4,756

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Solution

The fourth proportional to 17,068, 25,602.27 and 4,756 is: 7,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,068 : 25,602.27 = 4,756 : x
  2. Step 2: Convert to fraction form
    17,068/25,602.27 = 4,756/x
  3. Step 3: Cross multiply
    17,068x = 25,602.27 × 4,756
  4. Step 4: Simplify right side
    17,068x = 121,764,396.12
  5. Step 5: Solve for x
    x = 121,764,396.12/17,068
  6. Step 6: Final answer
    x = 7,134.08

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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.