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Finding the Fourth Proportional to 24,346.62, 36,525.40 and 7,707.65

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Solution

The fourth proportional to 24,346.62, 36,525.40 and 7,707.65 is: 11,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,346.62 : 36,525.40 = 7,707.65 : x
  2. Step 2: Convert to fraction form
    24,346.62/36,525.40 = 7,707.65/x
  3. Step 3: Cross multiply
    24,346.62x = 36,525.40 × 7,707.65
  4. Step 4: Simplify right side
    24,346.62x = 281,524,999.31
  5. Step 5: Solve for x
    x = 281,524,999.31/24,346.62
  6. Step 6: Final answer
    x = 11,563.21

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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.