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Finding the Fourth Proportional to 15,012, 22,522.32 and 4,623.48

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Solution

The fourth proportional to 15,012, 22,522.32 and 4,623.48 is: 6,936.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012 : 22,522.32 = 4,623.48 : x
  2. Step 2: Convert to fraction form
    15,012/22,522.32 = 4,623.48/x
  3. Step 3: Cross multiply
    15,012x = 22,522.32 × 4,623.48
  4. Step 4: Simplify right side
    15,012x = 104,131,496.07
  5. Step 5: Solve for x
    x = 104,131,496.07/15,012
  6. Step 6: Final answer
    x = 6,936.55

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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.