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Finding the Fourth Proportional to 16,261.62, 24,388.23 and 6,400.95

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Solution

The fourth proportional to 16,261.62, 24,388.23 and 6,400.95 is: 9,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.62 : 24,388.23 = 6,400.95 : x
  2. Step 2: Convert to fraction form
    16,261.62/24,388.23 = 6,400.95/x
  3. Step 3: Cross multiply
    16,261.62x = 24,388.23 × 6,400.95
  4. Step 4: Simplify right side
    16,261.62x = 156,107,840.82
  5. Step 5: Solve for x
    x = 156,107,840.82/16,261.62
  6. Step 6: Final answer
    x = 9,599.77

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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.