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Finding the Fourth Proportional to 15,553, 23,329.50 and 9,706.60

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Solution

The fourth proportional to 15,553, 23,329.50 and 9,706.60 is: 14,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,553 : 23,329.50 = 9,706.60 : x
  2. Step 2: Convert to fraction form
    15,553/23,329.50 = 9,706.60/x
  3. Step 3: Cross multiply
    15,553x = 23,329.50 × 9,706.60
  4. Step 4: Simplify right side
    15,553x = 226,450,124.70
  5. Step 5: Solve for x
    x = 226,450,124.70/15,553
  6. Step 6: Final answer
    x = 14,559.90

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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.