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Finding the Fourth Proportional to 23,934.66, 35,897.67 and 8,356.74

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Solution

The fourth proportional to 23,934.66, 35,897.67 and 8,356.74 is: 12,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,934.66 : 35,897.67 = 8,356.74 : x
  2. Step 2: Convert to fraction form
    23,934.66/35,897.67 = 8,356.74/x
  3. Step 3: Cross multiply
    23,934.66x = 35,897.67 × 8,356.74
  4. Step 4: Simplify right side
    23,934.66x = 299,987,494.80
  5. Step 5: Solve for x
    x = 299,987,494.80/23,934.66
  6. Step 6: Final answer
    x = 12,533.60

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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.