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Finding the Fourth Proportional to 15,765.82, 23,657.94 and 8,751.74

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Solution

The fourth proportional to 15,765.82, 23,657.94 and 8,751.74 is: 13,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.82 : 23,657.94 = 8,751.74 : x
  2. Step 2: Convert to fraction form
    15,765.82/23,657.94 = 8,751.74/x
  3. Step 3: Cross multiply
    15,765.82x = 23,657.94 × 8,751.74
  4. Step 4: Simplify right side
    15,765.82x = 207,048,139.82
  5. Step 5: Solve for x
    x = 207,048,139.82/15,765.82
  6. Step 6: Final answer
    x = 13,132.72

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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.