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Finding the Fourth Proportional to 21,927.61, 32,883.96 and 7,132.86

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Solution

The fourth proportional to 21,927.61, 32,883.96 and 7,132.86 is: 10,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,927.61 : 32,883.96 = 7,132.86 : x
  2. Step 2: Convert to fraction form
    21,927.61/32,883.96 = 7,132.86/x
  3. Step 3: Cross multiply
    21,927.61x = 32,883.96 × 7,132.86
  4. Step 4: Simplify right side
    21,927.61x = 234,556,682.93
  5. Step 5: Solve for x
    x = 234,556,682.93/21,927.61
  6. Step 6: Final answer
    x = 10,696.86

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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.