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Finding the Fourth Proportional to 23,984.32, 35,964.72 and 8,399.68

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Solution

The fourth proportional to 23,984.32, 35,964.72 and 8,399.68 is: 12,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,984.32 : 35,964.72 = 8,399.68 : x
  2. Step 2: Convert to fraction form
    23,984.32/35,964.72 = 8,399.68/x
  3. Step 3: Cross multiply
    23,984.32x = 35,964.72 × 8,399.68
  4. Step 4: Simplify right side
    23,984.32x = 302,092,139.29
  5. Step 5: Solve for x
    x = 302,092,139.29/23,984.32
  6. Step 6: Final answer
    x = 12,595.40

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