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Finding the Fourth Proportional to 23,272.92, 32,116.64 and 12,662.60

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Solution

The fourth proportional to 23,272.92, 32,116.64 and 12,662.60 is: 17,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,272.92 : 32,116.64 = 12,662.60 : x
  2. Step 2: Convert to fraction form
    23,272.92/32,116.64 = 12,662.60/x
  3. Step 3: Cross multiply
    23,272.92x = 32,116.64 × 12,662.60
  4. Step 4: Simplify right side
    23,272.92x = 406,679,941.77
  5. Step 5: Solve for x
    x = 406,679,941.77/23,272.92
  6. Step 6: Final answer
    x = 17,474.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.