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Finding the Fourth Proportional to 21,692.34, 32,530.30 and 11,826.25

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Solution

The fourth proportional to 21,692.34, 32,530.30 and 11,826.25 is: 17,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.34 : 32,530.30 = 11,826.25 : x
  2. Step 2: Convert to fraction form
    21,692.34/32,530.30 = 11,826.25/x
  3. Step 3: Cross multiply
    21,692.34x = 32,530.30 × 11,826.25
  4. Step 4: Simplify right side
    21,692.34x = 384,711,349.48
  5. Step 5: Solve for x
    x = 384,711,349.48/21,692.34
  6. Step 6: Final answer
    x = 17,734.89

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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.