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Finding the Fourth Proportional to 21,692.25, 29,935.35 and 11,756.25

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Solution

The fourth proportional to 21,692.25, 29,935.35 and 11,756.25 is: 16,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.25 : 29,935.35 = 11,756.25 : x
  2. Step 2: Convert to fraction form
    21,692.25/29,935.35 = 11,756.25/x
  3. Step 3: Cross multiply
    21,692.25x = 29,935.35 × 11,756.25
  4. Step 4: Simplify right side
    21,692.25x = 351,927,458.44
  5. Step 5: Solve for x
    x = 351,927,458.44/21,692.25
  6. Step 6: Final answer
    x = 16,223.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.