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Finding the Fourth Proportional to 21,610, 32,391.96 and 11,207.44

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Solution

The fourth proportional to 21,610, 32,391.96 and 11,207.44 is: 16,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610 : 32,391.96 = 11,207.44 : x
  2. Step 2: Convert to fraction form
    21,610/32,391.96 = 11,207.44/x
  3. Step 3: Cross multiply
    21,610x = 32,391.96 × 11,207.44
  4. Step 4: Simplify right side
    21,610x = 363,030,948.18
  5. Step 5: Solve for x
    x = 363,030,948.18/21,610
  6. Step 6: Final answer
    x = 16,799.21

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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.