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Finding the Fourth Proportional to 24,261.58, 36,384.63 and 9,466.90

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Solution

The fourth proportional to 24,261.58, 36,384.63 and 9,466.90 is: 14,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,261.58 : 36,384.63 = 9,466.90 : x
  2. Step 2: Convert to fraction form
    24,261.58/36,384.63 = 9,466.90/x
  3. Step 3: Cross multiply
    24,261.58x = 36,384.63 × 9,466.90
  4. Step 4: Simplify right side
    24,261.58x = 344,449,653.75
  5. Step 5: Solve for x
    x = 344,449,653.75/24,261.58
  6. Step 6: Final answer
    x = 14,197.33

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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.