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Finding the Fourth Proportional to 21,957.22, 32,941.07 and 7,166.17

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Solution

The fourth proportional to 21,957.22, 32,941.07 and 7,166.17 is: 10,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.22 : 32,941.07 = 7,166.17 : x
  2. Step 2: Convert to fraction form
    21,957.22/32,941.07 = 7,166.17/x
  3. Step 3: Cross multiply
    21,957.22x = 32,941.07 × 7,166.17
  4. Step 4: Simplify right side
    21,957.22x = 236,061,307.60
  5. Step 5: Solve for x
    x = 236,061,307.60/21,957.22
  6. Step 6: Final answer
    x = 10,750.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.