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Finding the Fourth Proportional to 16,522.16, 22,802.20 and 9,449.68

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Solution

The fourth proportional to 16,522.16, 22,802.20 and 9,449.68 is: 13,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.16 : 22,802.20 = 9,449.68 : x
  2. Step 2: Convert to fraction form
    16,522.16/22,802.20 = 9,449.68/x
  3. Step 3: Cross multiply
    16,522.16x = 22,802.20 × 9,449.68
  4. Step 4: Simplify right side
    16,522.16x = 215,473,493.30
  5. Step 5: Solve for x
    x = 215,473,493.30/16,522.16
  6. Step 6: Final answer
    x = 13,041.48

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