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Finding the Fourth Proportional to 24,297.56, 36,436.88 and 9,504.80

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Solution

The fourth proportional to 24,297.56, 36,436.88 and 9,504.80 is: 14,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,297.56 : 36,436.88 = 9,504.80 : x
  2. Step 2: Convert to fraction form
    24,297.56/36,436.88 = 9,504.80/x
  3. Step 3: Cross multiply
    24,297.56x = 36,436.88 × 9,504.80
  4. Step 4: Simplify right side
    24,297.56x = 346,325,257.02
  5. Step 5: Solve for x
    x = 346,325,257.02/24,297.56
  6. Step 6: Final answer
    x = 14,253.50

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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.