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Finding the Fourth Proportional to 21,881.95, 32,824.64 and 10,782.59

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Solution

The fourth proportional to 21,881.95, 32,824.64 and 10,782.59 is: 16,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881.95 : 32,824.64 = 10,782.59 : x
  2. Step 2: Convert to fraction form
    21,881.95/32,824.64 = 10,782.59/x
  3. Step 3: Cross multiply
    21,881.95x = 32,824.64 × 10,782.59
  4. Step 4: Simplify right side
    21,881.95x = 353,934,497.85
  5. Step 5: Solve for x
    x = 353,934,497.85/21,881.95
  6. Step 6: Final answer
    x = 16,174.73

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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.