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Finding the Fourth Proportional to 21,774.96, 32,677 and 9,297.88

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Solution

The fourth proportional to 21,774.96, 32,677 and 9,297.88 is: 13,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.96 : 32,677 = 9,297.88 : x
  2. Step 2: Convert to fraction form
    21,774.96/32,677 = 9,297.88/x
  3. Step 3: Cross multiply
    21,774.96x = 32,677 × 9,297.88
  4. Step 4: Simplify right side
    21,774.96x = 303,826,824.76
  5. Step 5: Solve for x
    x = 303,826,824.76/21,774.96
  6. Step 6: Final answer
    x = 13,953.04

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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.