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Finding the Fourth Proportional to 14,211.99, 21,312.05 and 6,814.71

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Solution

The fourth proportional to 14,211.99, 21,312.05 and 6,814.71 is: 10,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.99 : 21,312.05 = 6,814.71 : x
  2. Step 2: Convert to fraction form
    14,211.99/21,312.05 = 6,814.71/x
  3. Step 3: Cross multiply
    14,211.99x = 21,312.05 × 6,814.71
  4. Step 4: Simplify right side
    14,211.99x = 145,235,406.18
  5. Step 5: Solve for x
    x = 145,235,406.18/14,211.99
  6. Step 6: Final answer
    x = 10,219.22

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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.