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Finding the Fourth Proportional to 17,539.85, 24,203.72 and 9,580.38

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Solution

The fourth proportional to 17,539.85, 24,203.72 and 9,580.38 is: 13,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,539.85 : 24,203.72 = 9,580.38 : x
  2. Step 2: Convert to fraction form
    17,539.85/24,203.72 = 9,580.38/x
  3. Step 3: Cross multiply
    17,539.85x = 24,203.72 × 9,580.38
  4. Step 4: Simplify right side
    17,539.85x = 231,880,787.11
  5. Step 5: Solve for x
    x = 231,880,787.11/17,539.85
  6. Step 6: Final answer
    x = 13,220.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.