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Finding the Fourth Proportional to 17,124.56, 25,686.84 and 4,644.60

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Solution

The fourth proportional to 17,124.56, 25,686.84 and 4,644.60 is: 6,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,124.56 : 25,686.84 = 4,644.60 : x
  2. Step 2: Convert to fraction form
    17,124.56/25,686.84 = 4,644.60/x
  3. Step 3: Cross multiply
    17,124.56x = 25,686.84 × 4,644.60
  4. Step 4: Simplify right side
    17,124.56x = 119,305,097.06
  5. Step 5: Solve for x
    x = 119,305,097.06/17,124.56
  6. Step 6: Final answer
    x = 6,966.90

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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.