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Finding the Fourth Proportional to 14,441.25, 21,661.92 and 5,207.25

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Solution

The fourth proportional to 14,441.25, 21,661.92 and 5,207.25 is: 7,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441.25 : 21,661.92 = 5,207.25 : x
  2. Step 2: Convert to fraction form
    14,441.25/21,661.92 = 5,207.25/x
  3. Step 3: Cross multiply
    14,441.25x = 21,661.92 × 5,207.25
  4. Step 4: Simplify right side
    14,441.25x = 112,799,032.92
  5. Step 5: Solve for x
    x = 112,799,032.92/14,441.25
  6. Step 6: Final answer
    x = 7,810.89

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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.