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Finding the Fourth Proportional to 14,532.92, 21,810.31 and 9,841.80

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Solution

The fourth proportional to 14,532.92, 21,810.31 and 9,841.80 is: 14,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.92 : 21,810.31 = 9,841.80 : x
  2. Step 2: Convert to fraction form
    14,532.92/21,810.31 = 9,841.80/x
  3. Step 3: Cross multiply
    14,532.92x = 21,810.31 × 9,841.80
  4. Step 4: Simplify right side
    14,532.92x = 214,652,821.50
  5. Step 5: Solve for x
    x = 214,652,821.50/14,532.92
  6. Step 6: Final answer
    x = 14,770.11

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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.