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Finding the Fourth Proportional to 23,818.86, 35,730.72 and 8,023.86

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Solution

The fourth proportional to 23,818.86, 35,730.72 and 8,023.86 is: 12,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.86 : 35,730.72 = 8,023.86 : x
  2. Step 2: Convert to fraction form
    23,818.86/35,730.72 = 8,023.86/x
  3. Step 3: Cross multiply
    23,818.86x = 35,730.72 × 8,023.86
  4. Step 4: Simplify right side
    23,818.86x = 286,698,294.98
  5. Step 5: Solve for x
    x = 286,698,294.98/23,818.86
  6. Step 6: Final answer
    x = 12,036.61

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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.