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Finding the Fourth Proportional to 24,231.76, 36,347.59 and 7,593.06

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Solution

The fourth proportional to 24,231.76, 36,347.59 and 7,593.06 is: 11,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.76 : 36,347.59 = 7,593.06 : x
  2. Step 2: Convert to fraction form
    24,231.76/36,347.59 = 7,593.06/x
  3. Step 3: Cross multiply
    24,231.76x = 36,347.59 × 7,593.06
  4. Step 4: Simplify right side
    24,231.76x = 275,989,503.61
  5. Step 5: Solve for x
    x = 275,989,503.61/24,231.76
  6. Step 6: Final answer
    x = 11,389.58

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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.