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Finding the Fourth Proportional to 23,257.48, 32,096.16 and 13,323.40

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Solution

The fourth proportional to 23,257.48, 32,096.16 and 13,323.40 is: 18,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.48 : 32,096.16 = 13,323.40 : x
  2. Step 2: Convert to fraction form
    23,257.48/32,096.16 = 13,323.40/x
  3. Step 3: Cross multiply
    23,257.48x = 32,096.16 × 13,323.40
  4. Step 4: Simplify right side
    23,257.48x = 427,629,947.87
  5. Step 5: Solve for x
    x = 427,629,947.87/23,257.48
  6. Step 6: Final answer
    x = 18,386.77

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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.