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Finding the Fourth Proportional to 23,658.48, 32,411.76 and 22,772.16

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Solution

The fourth proportional to 23,658.48, 32,411.76 and 22,772.16 is: 31,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.48 : 32,411.76 = 22,772.16 : x
  2. Step 2: Convert to fraction form
    23,658.48/32,411.76 = 22,772.16/x
  3. Step 3: Cross multiply
    23,658.48x = 32,411.76 × 22,772.16
  4. Step 4: Simplify right side
    23,658.48x = 738,085,784.60
  5. Step 5: Solve for x
    x = 738,085,784.60/23,658.48
  6. Step 6: Final answer
    x = 31,197.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.