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Finding the Fourth Proportional to 14,682.35, 21,984.33 and 8,433

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Solution

The fourth proportional to 14,682.35, 21,984.33 and 8,433 is: 12,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.35 : 21,984.33 = 8,433 : x
  2. Step 2: Convert to fraction form
    14,682.35/21,984.33 = 8,433/x
  3. Step 3: Cross multiply
    14,682.35x = 21,984.33 × 8,433
  4. Step 4: Simplify right side
    14,682.35x = 185,393,854.89
  5. Step 5: Solve for x
    x = 185,393,854.89/14,682.35
  6. Step 6: Final answer
    x = 12,626.99

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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.