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Finding the Fourth Proportional to 15,760.14, 21,749.04 and 8,686.40

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Solution

The fourth proportional to 15,760.14, 21,749.04 and 8,686.40 is: 11,987.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760.14 : 21,749.04 = 8,686.40 : x
  2. Step 2: Convert to fraction form
    15,760.14/21,749.04 = 8,686.40/x
  3. Step 3: Cross multiply
    15,760.14x = 21,749.04 × 8,686.40
  4. Step 4: Simplify right side
    15,760.14x = 188,920,861.06
  5. Step 5: Solve for x
    x = 188,920,861.06/15,760.14
  6. Step 6: Final answer
    x = 11,987.26

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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.