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Finding the Fourth Proportional to 23,809.84, 32,857.60 and 13,199.60

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Solution

The fourth proportional to 23,809.84, 32,857.60 and 13,199.60 is: 18,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.84 : 32,857.60 = 13,199.60 : x
  2. Step 2: Convert to fraction form
    23,809.84/32,857.60 = 13,199.60/x
  3. Step 3: Cross multiply
    23,809.84x = 32,857.60 × 13,199.60
  4. Step 4: Simplify right side
    23,809.84x = 433,707,176.96
  5. Step 5: Solve for x
    x = 433,707,176.96/23,809.84
  6. Step 6: Final answer
    x = 18,215.46

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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.