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Finding the Fourth Proportional to 24,506.92, 36,762.13 and 10,261.06

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Solution

The fourth proportional to 24,506.92, 36,762.13 and 10,261.06 is: 15,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.92 : 36,762.13 = 10,261.06 : x
  2. Step 2: Convert to fraction form
    24,506.92/36,762.13 = 10,261.06/x
  3. Step 3: Cross multiply
    24,506.92x = 36,762.13 × 10,261.06
  4. Step 4: Simplify right side
    24,506.92x = 377,218,237.85
  5. Step 5: Solve for x
    x = 377,218,237.85/24,506.92
  6. Step 6: Final answer
    x = 15,392.32

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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.