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Finding the Fourth Proportional to 24,365.76, 36,549.99 and 7,724.61

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Solution

The fourth proportional to 24,365.76, 36,549.99 and 7,724.61 is: 11,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,365.76 : 36,549.99 = 7,724.61 : x
  2. Step 2: Convert to fraction form
    24,365.76/36,549.99 = 7,724.61/x
  3. Step 3: Cross multiply
    24,365.76x = 36,549.99 × 7,724.61
  4. Step 4: Simplify right side
    24,365.76x = 282,334,418.25
  5. Step 5: Solve for x
    x = 282,334,418.25/24,365.76
  6. Step 6: Final answer
    x = 11,587.34

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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.