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Finding the Fourth Proportional to 24,334.93, 36,508.88 and 7,695.28

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Solution

The fourth proportional to 24,334.93, 36,508.88 and 7,695.28 is: 11,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334.93 : 36,508.88 = 7,695.28 : x
  2. Step 2: Convert to fraction form
    24,334.93/36,508.88 = 7,695.28/x
  3. Step 3: Cross multiply
    24,334.93x = 36,508.88 × 7,695.28
  4. Step 4: Simplify right side
    24,334.93x = 280,946,054.09
  5. Step 5: Solve for x
    x = 280,946,054.09/24,334.93
  6. Step 6: Final answer
    x = 11,544.97

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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.