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Finding the Fourth Proportional to 27,547.84, 41,321.68 and 7,826.60

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Solution

The fourth proportional to 27,547.84, 41,321.68 and 7,826.60 is: 11,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.84 : 41,321.68 = 7,826.60 : x
  2. Step 2: Convert to fraction form
    27,547.84/41,321.68 = 7,826.60/x
  3. Step 3: Cross multiply
    27,547.84x = 41,321.68 × 7,826.60
  4. Step 4: Simplify right side
    27,547.84x = 323,408,260.69
  5. Step 5: Solve for x
    x = 323,408,260.69/27,547.84
  6. Step 6: Final answer
    x = 11,739.88

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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.