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Finding the Fourth Proportional to 14,803.83, 20,429.24 and 8,089.50

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Solution

The fourth proportional to 14,803.83, 20,429.24 and 8,089.50 is: 11,163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,803.83 : 20,429.24 = 8,089.50 : x
  2. Step 2: Convert to fraction form
    14,803.83/20,429.24 = 8,089.50/x
  3. Step 3: Cross multiply
    14,803.83x = 20,429.24 × 8,089.50
  4. Step 4: Simplify right side
    14,803.83x = 165,262,223.52
  5. Step 5: Solve for x
    x = 165,262,223.52/14,803.83
  6. Step 6: Final answer
    x = 11,163.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.