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Finding the Fourth Proportional to 15,757.12, 21,749.16 and 9,785.44

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Solution

The fourth proportional to 15,757.12, 21,749.16 and 9,785.44 is: 13,506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.12 : 21,749.16 = 9,785.44 : x
  2. Step 2: Convert to fraction form
    15,757.12/21,749.16 = 9,785.44/x
  3. Step 3: Cross multiply
    15,757.12x = 21,749.16 × 9,785.44
  4. Step 4: Simplify right side
    15,757.12x = 212,825,100.23
  5. Step 5: Solve for x
    x = 212,825,100.23/15,757.12
  6. Step 6: Final answer
    x = 13,506.60

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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.