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Finding the Fourth Proportional to 21,557.88, 32,347.89 and 8,917.02

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Solution

The fourth proportional to 21,557.88, 32,347.89 and 8,917.02 is: 13,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,557.88 : 32,347.89 = 8,917.02 : x
  2. Step 2: Convert to fraction form
    21,557.88/32,347.89 = 8,917.02/x
  3. Step 3: Cross multiply
    21,557.88x = 32,347.89 × 8,917.02
  4. Step 4: Simplify right side
    21,557.88x = 288,446,782.09
  5. Step 5: Solve for x
    x = 288,446,782.09/21,557.88
  6. Step 6: Final answer
    x = 13,380.11

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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.