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Finding the Fourth Proportional to 23,809.80, 32,856.30 and 13,199.32

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Solution

The fourth proportional to 23,809.80, 32,856.30 and 13,199.32 is: 18,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.80 : 32,856.30 = 13,199.32 : x
  2. Step 2: Convert to fraction form
    23,809.80/32,856.30 = 13,199.32/x
  3. Step 3: Cross multiply
    23,809.80x = 32,856.30 × 13,199.32
  4. Step 4: Simplify right side
    23,809.80x = 433,680,817.72
  5. Step 5: Solve for x
    x = 433,680,817.72/23,809.80
  6. Step 6: Final answer
    x = 18,214.38

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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.