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Finding the Fourth Proportional to 16,396.25, 24,607.25 and 11,433.59

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Solution

The fourth proportional to 16,396.25, 24,607.25 and 11,433.59 is: 17,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,396.25 : 24,607.25 = 11,433.59 : x
  2. Step 2: Convert to fraction form
    16,396.25/24,607.25 = 11,433.59/x
  3. Step 3: Cross multiply
    16,396.25x = 24,607.25 × 11,433.59
  4. Step 4: Simplify right side
    16,396.25x = 281,349,027.32
  5. Step 5: Solve for x
    x = 281,349,027.32/16,396.25
  6. Step 6: Final answer
    x = 17,159.36

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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.