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Finding the Fourth Proportional to 23,804.72, 35,710.32 and 8,223.56

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Solution

The fourth proportional to 23,804.72, 35,710.32 and 8,223.56 is: 12,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.72 : 35,710.32 = 8,223.56 : x
  2. Step 2: Convert to fraction form
    23,804.72/35,710.32 = 8,223.56/x
  3. Step 3: Cross multiply
    23,804.72x = 35,710.32 × 8,223.56
  4. Step 4: Simplify right side
    23,804.72x = 293,665,780.59
  5. Step 5: Solve for x
    x = 293,665,780.59/23,804.72
  6. Step 6: Final answer
    x = 12,336.45

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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.