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Finding the Fourth Proportional to 14,012.90, 21,019.35 and 8,099.90

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Solution

The fourth proportional to 14,012.90, 21,019.35 and 8,099.90 is: 12,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.90 : 21,019.35 = 8,099.90 : x
  2. Step 2: Convert to fraction form
    14,012.90/21,019.35 = 8,099.90/x
  3. Step 3: Cross multiply
    14,012.90x = 21,019.35 × 8,099.90
  4. Step 4: Simplify right side
    14,012.90x = 170,254,633.07
  5. Step 5: Solve for x
    x = 170,254,633.07/14,012.90
  6. Step 6: Final answer
    x = 12,149.85

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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.