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Finding the Fourth Proportional to 27,459.84, 41,189.76 and 6,683.16

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Solution

The fourth proportional to 27,459.84, 41,189.76 and 6,683.16 is: 10,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,459.84 : 41,189.76 = 6,683.16 : x
  2. Step 2: Convert to fraction form
    27,459.84/41,189.76 = 6,683.16/x
  3. Step 3: Cross multiply
    27,459.84x = 41,189.76 × 6,683.16
  4. Step 4: Simplify right side
    27,459.84x = 275,277,756.44
  5. Step 5: Solve for x
    x = 275,277,756.44/27,459.84
  6. Step 6: Final answer
    x = 10,024.74

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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.