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Finding the Fourth Proportional to 15,694.56, 23,536.80 and 6,929.28

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Solution

The fourth proportional to 15,694.56, 23,536.80 and 6,929.28 is: 10,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694.56 : 23,536.80 = 6,929.28 : x
  2. Step 2: Convert to fraction form
    15,694.56/23,536.80 = 6,929.28/x
  3. Step 3: Cross multiply
    15,694.56x = 23,536.80 × 6,929.28
  4. Step 4: Simplify right side
    15,694.56x = 163,093,077.50
  5. Step 5: Solve for x
    x = 163,093,077.50/15,694.56
  6. Step 6: Final answer
    x = 10,391.69

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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.