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Finding the Fourth Proportional to 15,202.15, 22,784.19 and 8,164.87

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Solution

The fourth proportional to 15,202.15, 22,784.19 and 8,164.87 is: 12,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.15 : 22,784.19 = 8,164.87 : x
  2. Step 2: Convert to fraction form
    15,202.15/22,784.19 = 8,164.87/x
  3. Step 3: Cross multiply
    15,202.15x = 22,784.19 × 8,164.87
  4. Step 4: Simplify right side
    15,202.15x = 186,029,949.41
  5. Step 5: Solve for x
    x = 186,029,949.41/15,202.15
  6. Step 6: Final answer
    x = 12,237.08

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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.