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Finding the Fourth Proportional to 13,692.56, 20,446.43 and 13,547.84

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Solution

The fourth proportional to 13,692.56, 20,446.43 and 13,547.84 is: 20,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.56 : 20,446.43 = 13,547.84 : x
  2. Step 2: Convert to fraction form
    13,692.56/20,446.43 = 13,547.84/x
  3. Step 3: Cross multiply
    13,692.56x = 20,446.43 × 13,547.84
  4. Step 4: Simplify right side
    13,692.56x = 277,004,792.24
  5. Step 5: Solve for x
    x = 277,004,792.24/13,692.56
  6. Step 6: Final answer
    x = 20,230.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.