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Finding the Fourth Proportional to 23,816.30, 32,868 and 13,746.60

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Solution

The fourth proportional to 23,816.30, 32,868 and 13,746.60 is: 18,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.30 : 32,868 = 13,746.60 : x
  2. Step 2: Convert to fraction form
    23,816.30/32,868 = 13,746.60/x
  3. Step 3: Cross multiply
    23,816.30x = 32,868 × 13,746.60
  4. Step 4: Simplify right side
    23,816.30x = 451,823,248.80
  5. Step 5: Solve for x
    x = 451,823,248.80/23,816.30
  6. Step 6: Final answer
    x = 18,971.18

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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.