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Finding the Fourth Proportional to 23,984.64, 35,992.98 and 8,402.31

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Solution

The fourth proportional to 23,984.64, 35,992.98 and 8,402.31 is: 12,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,984.64 : 35,992.98 = 8,402.31 : x
  2. Step 2: Convert to fraction form
    23,984.64/35,992.98 = 8,402.31/x
  3. Step 3: Cross multiply
    23,984.64x = 35,992.98 × 8,402.31
  4. Step 4: Simplify right side
    23,984.64x = 302,424,175.78
  5. Step 5: Solve for x
    x = 302,424,175.78/23,984.64
  6. Step 6: Final answer
    x = 12,609.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.