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Finding the Fourth Proportional to 14,596.53, 21,880.21 and 7,206.29

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Solution

The fourth proportional to 14,596.53, 21,880.21 and 7,206.29 is: 10,802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.53 : 21,880.21 = 7,206.29 : x
  2. Step 2: Convert to fraction form
    14,596.53/21,880.21 = 7,206.29/x
  3. Step 3: Cross multiply
    14,596.53x = 21,880.21 × 7,206.29
  4. Step 4: Simplify right side
    14,596.53x = 157,675,138.52
  5. Step 5: Solve for x
    x = 157,675,138.52/14,596.53
  6. Step 6: Final answer
    x = 10,802.23

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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.