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Finding the Fourth Proportional to 16,522.64, 22,802.38 and 9,352.56

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Solution

The fourth proportional to 16,522.64, 22,802.38 and 9,352.56 is: 12,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.64 : 22,802.38 = 9,352.56 : x
  2. Step 2: Convert to fraction form
    16,522.64/22,802.38 = 9,352.56/x
  3. Step 3: Cross multiply
    16,522.64x = 22,802.38 × 9,352.56
  4. Step 4: Simplify right side
    16,522.64x = 213,260,627.09
  5. Step 5: Solve for x
    x = 213,260,627.09/16,522.64
  6. Step 6: Final answer
    x = 12,907.18

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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.