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Finding the Fourth Proportional to 23,892.76, 32,968.02 and 13,282.12

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Solution

The fourth proportional to 23,892.76, 32,968.02 and 13,282.12 is: 18,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.76 : 32,968.02 = 13,282.12 : x
  2. Step 2: Convert to fraction form
    23,892.76/32,968.02 = 13,282.12/x
  3. Step 3: Cross multiply
    23,892.76x = 32,968.02 × 13,282.12
  4. Step 4: Simplify right side
    23,892.76x = 437,885,197.80
  5. Step 5: Solve for x
    x = 437,885,197.80/23,892.76
  6. Step 6: Final answer
    x = 18,327.11

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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.