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Finding the Fourth Proportional to 26,308.14, 39,460.86 and 6,585.54

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Solution

The fourth proportional to 26,308.14, 39,460.86 and 6,585.54 is: 9,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,308.14 : 39,460.86 = 6,585.54 : x
  2. Step 2: Convert to fraction form
    26,308.14/39,460.86 = 6,585.54/x
  3. Step 3: Cross multiply
    26,308.14x = 39,460.86 × 6,585.54
  4. Step 4: Simplify right side
    26,308.14x = 259,871,071.96
  5. Step 5: Solve for x
    x = 259,871,071.96/26,308.14
  6. Step 6: Final answer
    x = 9,877.97

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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.