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Finding the Fourth Proportional to 23,585.87, 32,546.53 and 13,893.78

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Solution

The fourth proportional to 23,585.87, 32,546.53 and 13,893.78 is: 19,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,585.87 : 32,546.53 = 13,893.78 : x
  2. Step 2: Convert to fraction form
    23,585.87/32,546.53 = 13,893.78/x
  3. Step 3: Cross multiply
    23,585.87x = 32,546.53 × 13,893.78
  4. Step 4: Simplify right side
    23,585.87x = 452,194,258.11
  5. Step 5: Solve for x
    x = 452,194,258.11/23,585.87
  6. Step 6: Final answer
    x = 19,172.26

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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.