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Finding the Fourth Proportional to 24,346.87, 36,525.78 and 7,707.90

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Solution

The fourth proportional to 24,346.87, 36,525.78 and 7,707.90 is: 11,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,346.87 : 36,525.78 = 7,707.90 : x
  2. Step 2: Convert to fraction form
    24,346.87/36,525.78 = 7,707.90/x
  3. Step 3: Cross multiply
    24,346.87x = 36,525.78 × 7,707.90
  4. Step 4: Simplify right side
    24,346.87x = 281,537,021.12
  5. Step 5: Solve for x
    x = 281,537,021.12/24,346.87
  6. Step 6: Final answer
    x = 11,563.58

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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.