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Finding the Fourth Proportional to 23,094.85, 34,642.27 and 8,303.77

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Solution

The fourth proportional to 23,094.85, 34,642.27 and 8,303.77 is: 12,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,094.85 : 34,642.27 = 8,303.77 : x
  2. Step 2: Convert to fraction form
    23,094.85/34,642.27 = 8,303.77/x
  3. Step 3: Cross multiply
    23,094.85x = 34,642.27 × 8,303.77
  4. Step 4: Simplify right side
    23,094.85x = 287,661,309.21
  5. Step 5: Solve for x
    x = 287,661,309.21/23,094.85
  6. Step 6: Final answer
    x = 12,455.65

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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.