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Finding the Fourth Proportional to 24,853.32, 37,274.58 and 8,209.40

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Solution

The fourth proportional to 24,853.32, 37,274.58 and 8,209.40 is: 12,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,853.32 : 37,274.58 = 8,209.40 : x
  2. Step 2: Convert to fraction form
    24,853.32/37,274.58 = 8,209.40/x
  3. Step 3: Cross multiply
    24,853.32x = 37,274.58 × 8,209.40
  4. Step 4: Simplify right side
    24,853.32x = 306,001,750.68
  5. Step 5: Solve for x
    x = 306,001,750.68/24,853.32
  6. Step 6: Final answer
    x = 12,312.31

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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.