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Finding the Fourth Proportional to 14,782.85, 22,162.50 and 8,535.77

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Solution

The fourth proportional to 14,782.85, 22,162.50 and 8,535.77 is: 12,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.85 : 22,162.50 = 8,535.77 : x
  2. Step 2: Convert to fraction form
    14,782.85/22,162.50 = 8,535.77/x
  3. Step 3: Cross multiply
    14,782.85x = 22,162.50 × 8,535.77
  4. Step 4: Simplify right side
    14,782.85x = 189,174,002.63
  5. Step 5: Solve for x
    x = 189,174,002.63/14,782.85
  6. Step 6: Final answer
    x = 12,796.86

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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.