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Finding the Fourth Proportional to 14,140.65, 21,214.03 and 4,146.22

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Solution

The fourth proportional to 14,140.65, 21,214.03 and 4,146.22 is: 6,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.65 : 21,214.03 = 4,146.22 : x
  2. Step 2: Convert to fraction form
    14,140.65/21,214.03 = 4,146.22/x
  3. Step 3: Cross multiply
    14,140.65x = 21,214.03 × 4,146.22
  4. Step 4: Simplify right side
    14,140.65x = 87,958,035.47
  5. Step 5: Solve for x
    x = 87,958,035.47/14,140.65
  6. Step 6: Final answer
    x = 6,220.23

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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.