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Finding the Fourth Proportional to 23,448.40, 32,361.49 and 13,378.29

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Solution

The fourth proportional to 23,448.40, 32,361.49 and 13,378.29 is: 18,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,448.40 : 32,361.49 = 13,378.29 : x
  2. Step 2: Convert to fraction form
    23,448.40/32,361.49 = 13,378.29/x
  3. Step 3: Cross multiply
    23,448.40x = 32,361.49 × 13,378.29
  4. Step 4: Simplify right side
    23,448.40x = 432,941,391.49
  5. Step 5: Solve for x
    x = 432,941,391.49/23,448.40
  6. Step 6: Final answer
    x = 18,463.58

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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.