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Finding the Fourth Proportional to 13,866.24, 20,802.24 and 4,632

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Solution

The fourth proportional to 13,866.24, 20,802.24 and 4,632 is: 6,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.24 : 20,802.24 = 4,632 : x
  2. Step 2: Convert to fraction form
    13,866.24/20,802.24 = 4,632/x
  3. Step 3: Cross multiply
    13,866.24x = 20,802.24 × 4,632
  4. Step 4: Simplify right side
    13,866.24x = 96,355,975.68
  5. Step 5: Solve for x
    x = 96,355,975.68/13,866.24
  6. Step 6: Final answer
    x = 6,948.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.