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Finding the Fourth Proportional to 21,957.92, 32,933.54 and 7,166.81

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Solution

The fourth proportional to 21,957.92, 32,933.54 and 7,166.81 is: 10,749.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.92 : 32,933.54 = 7,166.81 : x
  2. Step 2: Convert to fraction form
    21,957.92/32,933.54 = 7,166.81/x
  3. Step 3: Cross multiply
    21,957.92x = 32,933.54 × 7,166.81
  4. Step 4: Simplify right side
    21,957.92x = 236,028,483.74
  5. Step 5: Solve for x
    x = 236,028,483.74/21,957.92
  6. Step 6: Final answer
    x = 10,749.13

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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.