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Finding the Fourth Proportional to 10,522.22, 15,794.69 and 9,359.66

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Solution

The fourth proportional to 10,522.22, 15,794.69 and 9,359.66 is: 14,049.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.22 : 15,794.69 = 9,359.66 : x
  2. Step 2: Convert to fraction form
    10,522.22/15,794.69 = 9,359.66/x
  3. Step 3: Cross multiply
    10,522.22x = 15,794.69 × 9,359.66
  4. Step 4: Simplify right side
    10,522.22x = 147,832,802.43
  5. Step 5: Solve for x
    x = 147,832,802.43/10,522.22
  6. Step 6: Final answer
    x = 14,049.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.