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Finding the Fourth Proportional to 23,827.50, 35,743.68 and 8,245.08

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Solution

The fourth proportional to 23,827.50, 35,743.68 and 8,245.08 is: 12,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.50 : 35,743.68 = 8,245.08 : x
  2. Step 2: Convert to fraction form
    23,827.50/35,743.68 = 8,245.08/x
  3. Step 3: Cross multiply
    23,827.50x = 35,743.68 × 8,245.08
  4. Step 4: Simplify right side
    23,827.50x = 294,709,501.09
  5. Step 5: Solve for x
    x = 294,709,501.09/23,827.50
  6. Step 6: Final answer
    x = 12,368.46

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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.