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Finding the Fourth Proportional to 23,456.49, 32,361.93 and 13,377.69

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Solution

The fourth proportional to 23,456.49, 32,361.93 and 13,377.69 is: 18,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.49 : 32,361.93 = 13,377.69 : x
  2. Step 2: Convert to fraction form
    23,456.49/32,361.93 = 13,377.69/x
  3. Step 3: Cross multiply
    23,456.49x = 32,361.93 × 13,377.69
  4. Step 4: Simplify right side
    23,456.49x = 432,927,867.34
  5. Step 5: Solve for x
    x = 432,927,867.34/23,456.49
  6. Step 6: Final answer
    x = 18,456.63

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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.