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Finding the Fourth Proportional to 15,772.60, 23,659.98 and 4,087

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Solution

The fourth proportional to 15,772.60, 23,659.98 and 4,087 is: 6,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.60 : 23,659.98 = 4,087 : x
  2. Step 2: Convert to fraction form
    15,772.60/23,659.98 = 4,087/x
  3. Step 3: Cross multiply
    15,772.60x = 23,659.98 × 4,087
  4. Step 4: Simplify right side
    15,772.60x = 96,698,338.26
  5. Step 5: Solve for x
    x = 96,698,338.26/15,772.60
  6. Step 6: Final answer
    x = 6,130.78

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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.