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Finding the Fourth Proportional to 23,822.70, 32,874.22 and 13,212.10

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Solution

The fourth proportional to 23,822.70, 32,874.22 and 13,212.10 is: 18,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.70 : 32,874.22 = 13,212.10 : x
  2. Step 2: Convert to fraction form
    23,822.70/32,874.22 = 13,212.10/x
  3. Step 3: Cross multiply
    23,822.70x = 32,874.22 × 13,212.10
  4. Step 4: Simplify right side
    23,822.70x = 434,337,482.06
  5. Step 5: Solve for x
    x = 434,337,482.06/23,822.70
  6. Step 6: Final answer
    x = 18,232.08

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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.