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Finding the Fourth Proportional to 24,511.42, 36,734.73 and 8,914.06

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Solution

The fourth proportional to 24,511.42, 36,734.73 and 8,914.06 is: 13,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.42 : 36,734.73 = 8,914.06 : x
  2. Step 2: Convert to fraction form
    24,511.42/36,734.73 = 8,914.06/x
  3. Step 3: Cross multiply
    24,511.42x = 36,734.73 × 8,914.06
  4. Step 4: Simplify right side
    24,511.42x = 327,455,587.30
  5. Step 5: Solve for x
    x = 327,455,587.30/24,511.42
  6. Step 6: Final answer
    x = 13,359.31

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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.