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Finding the Fourth Proportional to 23,898.17, 35,824.86 and 8,092.15

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Solution

The fourth proportional to 23,898.17, 35,824.86 and 8,092.15 is: 12,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,898.17 : 35,824.86 = 8,092.15 : x
  2. Step 2: Convert to fraction form
    23,898.17/35,824.86 = 8,092.15/x
  3. Step 3: Cross multiply
    23,898.17x = 35,824.86 × 8,092.15
  4. Step 4: Simplify right side
    23,898.17x = 289,900,051.29
  5. Step 5: Solve for x
    x = 289,900,051.29/23,898.17
  6. Step 6: Final answer
    x = 12,130.64

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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.