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Finding the Fourth Proportional to 15,733.50, 23,600.25 and 6,499.74

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Solution

The fourth proportional to 15,733.50, 23,600.25 and 6,499.74 is: 9,749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733.50 : 23,600.25 = 6,499.74 : x
  2. Step 2: Convert to fraction form
    15,733.50/23,600.25 = 6,499.74/x
  3. Step 3: Cross multiply
    15,733.50x = 23,600.25 × 6,499.74
  4. Step 4: Simplify right side
    15,733.50x = 153,395,488.94
  5. Step 5: Solve for x
    x = 153,395,488.94/15,733.50
  6. Step 6: Final answer
    x = 9,749.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.