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Finding the Fourth Proportional to 21,883.50, 32,796.68 and 10,032.99

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Solution

The fourth proportional to 21,883.50, 32,796.68 and 10,032.99 is: 15,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,883.50 : 32,796.68 = 10,032.99 : x
  2. Step 2: Convert to fraction form
    21,883.50/32,796.68 = 10,032.99/x
  3. Step 3: Cross multiply
    21,883.50x = 32,796.68 × 10,032.99
  4. Step 4: Simplify right side
    21,883.50x = 329,048,712.31
  5. Step 5: Solve for x
    x = 329,048,712.31/21,883.50
  6. Step 6: Final answer
    x = 15,036.38

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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.