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Finding the Fourth Proportional to 23,272.38, 32,114.93 and 12,662.06

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Solution

The fourth proportional to 23,272.38, 32,114.93 and 12,662.06 is: 17,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,272.38 : 32,114.93 = 12,662.06 : x
  2. Step 2: Convert to fraction form
    23,272.38/32,114.93 = 12,662.06/x
  3. Step 3: Cross multiply
    23,272.38x = 32,114.93 × 12,662.06
  4. Step 4: Simplify right side
    23,272.38x = 406,640,946.67
  5. Step 5: Solve for x
    x = 406,640,946.67/23,272.38
  6. Step 6: Final answer
    x = 17,473.11

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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.