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Finding the Fourth Proportional to 23,818.86, 35,733.69 and 8,023.41

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Solution

The fourth proportional to 23,818.86, 35,733.69 and 8,023.41 is: 12,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.86 : 35,733.69 = 8,023.41 : x
  2. Step 2: Convert to fraction form
    23,818.86/35,733.69 = 8,023.41/x
  3. Step 3: Cross multiply
    23,818.86x = 35,733.69 × 8,023.41
  4. Step 4: Simplify right side
    23,818.86x = 286,706,045.68
  5. Step 5: Solve for x
    x = 286,706,045.68/23,818.86
  6. Step 6: Final answer
    x = 12,036.93

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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.