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Finding the Fourth Proportional to 21,242.08, 31,844.49 and 8,085.70

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Solution

The fourth proportional to 21,242.08, 31,844.49 and 8,085.70 is: 12,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242.08 : 31,844.49 = 8,085.70 : x
  2. Step 2: Convert to fraction form
    21,242.08/31,844.49 = 8,085.70/x
  3. Step 3: Cross multiply
    21,242.08x = 31,844.49 × 8,085.70
  4. Step 4: Simplify right side
    21,242.08x = 257,484,882.86
  5. Step 5: Solve for x
    x = 257,484,882.86/21,242.08
  6. Step 6: Final answer
    x = 12,121.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.