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Finding the Fourth Proportional to 15,662.76, 23,498 and 4,569.56

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Solution

The fourth proportional to 15,662.76, 23,498 and 4,569.56 is: 6,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,662.76 : 23,498 = 4,569.56 : x
  2. Step 2: Convert to fraction form
    15,662.76/23,498 = 4,569.56/x
  3. Step 3: Cross multiply
    15,662.76x = 23,498 × 4,569.56
  4. Step 4: Simplify right side
    15,662.76x = 107,375,520.88
  5. Step 5: Solve for x
    x = 107,375,520.88/15,662.76
  6. Step 6: Final answer
    x = 6,855.47

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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.