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Finding the Fourth Proportional to 15,777.69, 23,659.62 and 5,910.06

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Solution

The fourth proportional to 15,777.69, 23,659.62 and 5,910.06 is: 8,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.69 : 23,659.62 = 5,910.06 : x
  2. Step 2: Convert to fraction form
    15,777.69/23,659.62 = 5,910.06/x
  3. Step 3: Cross multiply
    15,777.69x = 23,659.62 × 5,910.06
  4. Step 4: Simplify right side
    15,777.69x = 139,829,773.78
  5. Step 5: Solve for x
    x = 139,829,773.78/15,777.69
  6. Step 6: Final answer
    x = 8,862.50

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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.