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Finding the Fourth Proportional to 23,362.14, 32,239.84 and 12,752

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Solution

The fourth proportional to 23,362.14, 32,239.84 and 12,752 is: 17,597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,362.14 : 32,239.84 = 12,752 : x
  2. Step 2: Convert to fraction form
    23,362.14/32,239.84 = 12,752/x
  3. Step 3: Cross multiply
    23,362.14x = 32,239.84 × 12,752
  4. Step 4: Simplify right side
    23,362.14x = 411,122,439.68
  5. Step 5: Solve for x
    x = 411,122,439.68/23,362.14
  6. Step 6: Final answer
    x = 17,597.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.