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Finding the Fourth Proportional to 15,722.82, 21,697.50 and 9,435.20

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Solution

The fourth proportional to 15,722.82, 21,697.50 and 9,435.20 is: 13,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.82 : 21,697.50 = 9,435.20 : x
  2. Step 2: Convert to fraction form
    15,722.82/21,697.50 = 9,435.20/x
  3. Step 3: Cross multiply
    15,722.82x = 21,697.50 × 9,435.20
  4. Step 4: Simplify right side
    15,722.82x = 204,720,143.51
  5. Step 5: Solve for x
    x = 204,720,143.51/15,722.82
  6. Step 6: Final answer
    x = 13,020.57

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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.