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Finding the Fourth Proportional to 23,807.52, 35,703.18 and 8,221.50

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Solution

The fourth proportional to 23,807.52, 35,703.18 and 8,221.50 is: 12,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.52 : 35,703.18 = 8,221.50 : x
  2. Step 2: Convert to fraction form
    23,807.52/35,703.18 = 8,221.50/x
  3. Step 3: Cross multiply
    23,807.52x = 35,703.18 × 8,221.50
  4. Step 4: Simplify right side
    23,807.52x = 293,533,694.37
  5. Step 5: Solve for x
    x = 293,533,694.37/23,807.52
  6. Step 6: Final answer
    x = 12,329.45

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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.