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Finding the Fourth Proportional to 14,214.42, 21,324.06 and 6,319.76

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Solution

The fourth proportional to 14,214.42, 21,324.06 and 6,319.76 is: 9,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.42 : 21,324.06 = 6,319.76 : x
  2. Step 2: Convert to fraction form
    14,214.42/21,324.06 = 6,319.76/x
  3. Step 3: Cross multiply
    14,214.42x = 21,324.06 × 6,319.76
  4. Step 4: Simplify right side
    14,214.42x = 134,762,834.81
  5. Step 5: Solve for x
    x = 134,762,834.81/14,214.42
  6. Step 6: Final answer
    x = 9,480.71

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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.