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Finding the Fourth Proportional to 23,869.34, 35,804.02 and 8,286.56

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Solution

The fourth proportional to 23,869.34, 35,804.02 and 8,286.56 is: 12,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,869.34 : 35,804.02 = 8,286.56 : x
  2. Step 2: Convert to fraction form
    23,869.34/35,804.02 = 8,286.56/x
  3. Step 3: Cross multiply
    23,869.34x = 35,804.02 × 8,286.56
  4. Step 4: Simplify right side
    23,869.34x = 296,692,159.97
  5. Step 5: Solve for x
    x = 296,692,159.97/23,869.34
  6. Step 6: Final answer
    x = 12,429.84

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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.