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Finding the Fourth Proportional to 15,654, 23,481 and 4,560.96

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Solution

The fourth proportional to 15,654, 23,481 and 4,560.96 is: 6,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,654 : 23,481 = 4,560.96 : x
  2. Step 2: Convert to fraction form
    15,654/23,481 = 4,560.96/x
  3. Step 3: Cross multiply
    15,654x = 23,481 × 4,560.96
  4. Step 4: Simplify right side
    15,654x = 107,095,901.76
  5. Step 5: Solve for x
    x = 107,095,901.76/15,654
  6. Step 6: Final answer
    x = 6,841.44

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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.