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Finding the Fourth Proportional to 13,492.50, 20,203.32 and 9,522.33

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Solution

The fourth proportional to 13,492.50, 20,203.32 and 9,522.33 is: 14,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.50 : 20,203.32 = 9,522.33 : x
  2. Step 2: Convert to fraction form
    13,492.50/20,203.32 = 9,522.33/x
  3. Step 3: Cross multiply
    13,492.50x = 20,203.32 × 9,522.33
  4. Step 4: Simplify right side
    13,492.50x = 192,382,810.55
  5. Step 5: Solve for x
    x = 192,382,810.55/13,492.50
  6. Step 6: Final answer
    x = 14,258.50

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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.