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Finding the Fourth Proportional to 23,927.28, 35,890.92 and 8,334

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Solution

The fourth proportional to 23,927.28, 35,890.92 and 8,334 is: 12,501

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,927.28 : 35,890.92 = 8,334 : x
  2. Step 2: Convert to fraction form
    23,927.28/35,890.92 = 8,334/x
  3. Step 3: Cross multiply
    23,927.28x = 35,890.92 × 8,334
  4. Step 4: Simplify right side
    23,927.28x = 299,114,927.28
  5. Step 5: Solve for x
    x = 299,114,927.28/23,927.28
  6. Step 6: Final answer
    x = 12,501

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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.