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Finding the Fourth Proportional to 14,637.85, 21,969.11 and 6,324.16

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Solution

The fourth proportional to 14,637.85, 21,969.11 and 6,324.16 is: 9,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,637.85 : 21,969.11 = 6,324.16 : x
  2. Step 2: Convert to fraction form
    14,637.85/21,969.11 = 6,324.16/x
  3. Step 3: Cross multiply
    14,637.85x = 21,969.11 × 6,324.16
  4. Step 4: Simplify right side
    14,637.85x = 138,936,166.70
  5. Step 5: Solve for x
    x = 138,936,166.70/14,637.85
  6. Step 6: Final answer
    x = 9,491.57

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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.