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Finding the Fourth Proportional to 21,946.64, 32,923.08 and 8,094.64

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Solution

The fourth proportional to 21,946.64, 32,923.08 and 8,094.64 is: 12,143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,946.64 : 32,923.08 = 8,094.64 : x
  2. Step 2: Convert to fraction form
    21,946.64/32,923.08 = 8,094.64/x
  3. Step 3: Cross multiply
    21,946.64x = 32,923.08 × 8,094.64
  4. Step 4: Simplify right side
    21,946.64x = 266,500,480.29
  5. Step 5: Solve for x
    x = 266,500,480.29/21,946.64
  6. Step 6: Final answer
    x = 12,143.11

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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.