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Finding the Fourth Proportional to 21,205.69, 31,803.67 and 9,522.25

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Solution

The fourth proportional to 21,205.69, 31,803.67 and 9,522.25 is: 14,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.69 : 31,803.67 = 9,522.25 : x
  2. Step 2: Convert to fraction form
    21,205.69/31,803.67 = 9,522.25/x
  3. Step 3: Cross multiply
    21,205.69x = 31,803.67 × 9,522.25
  4. Step 4: Simplify right side
    21,205.69x = 302,842,496.66
  5. Step 5: Solve for x
    x = 302,842,496.66/21,205.69
  6. Step 6: Final answer
    x = 14,281.19

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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.