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Finding the Fourth Proportional to 14,220.68, 21,330.81 and 6,429.49

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Solution

The fourth proportional to 14,220.68, 21,330.81 and 6,429.49 is: 9,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220.68 : 21,330.81 = 6,429.49 : x
  2. Step 2: Convert to fraction form
    14,220.68/21,330.81 = 6,429.49/x
  3. Step 3: Cross multiply
    14,220.68x = 21,330.81 × 6,429.49
  4. Step 4: Simplify right side
    14,220.68x = 137,146,176.26
  5. Step 5: Solve for x
    x = 137,146,176.26/14,220.68
  6. Step 6: Final answer
    x = 9,644.14

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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.