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Finding the Fourth Proportional to 17,856.96, 26,784.04 and 6,762.64

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Solution

The fourth proportional to 17,856.96, 26,784.04 and 6,762.64 is: 10,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.96 : 26,784.04 = 6,762.64 : x
  2. Step 2: Convert to fraction form
    17,856.96/26,784.04 = 6,762.64/x
  3. Step 3: Cross multiply
    17,856.96x = 26,784.04 × 6,762.64
  4. Step 4: Simplify right side
    17,856.96x = 181,130,820.27
  5. Step 5: Solve for x
    x = 181,130,820.27/17,856.96
  6. Step 6: Final answer
    x = 10,143.43

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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.