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Finding the Fourth Proportional to 23,452.54, 32,364.56 and 12,697.53

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Solution

The fourth proportional to 23,452.54, 32,364.56 and 12,697.53 is: 17,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,452.54 : 32,364.56 = 12,697.53 : x
  2. Step 2: Convert to fraction form
    23,452.54/32,364.56 = 12,697.53/x
  3. Step 3: Cross multiply
    23,452.54x = 32,364.56 × 12,697.53
  4. Step 4: Simplify right side
    23,452.54x = 410,949,746.23
  5. Step 5: Solve for x
    x = 410,949,746.23/23,452.54
  6. Step 6: Final answer
    x = 17,522.61

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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.