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Finding the Fourth Proportional to 24,232.84, 36,335.59 and 9,424.80

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Solution

The fourth proportional to 24,232.84, 36,335.59 and 9,424.80 is: 14,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.84 : 36,335.59 = 9,424.80 : x
  2. Step 2: Convert to fraction form
    24,232.84/36,335.59 = 9,424.80/x
  3. Step 3: Cross multiply
    24,232.84x = 36,335.59 × 9,424.80
  4. Step 4: Simplify right side
    24,232.84x = 342,455,645.07
  5. Step 5: Solve for x
    x = 342,455,645.07/24,232.84
  6. Step 6: Final answer
    x = 14,131.88

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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.