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Finding the Fourth Proportional to 12,580.57, 18,854.56 and 5,176.45

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Solution

The fourth proportional to 12,580.57, 18,854.56 and 5,176.45 is: 7,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.57 : 18,854.56 = 5,176.45 : x
  2. Step 2: Convert to fraction form
    12,580.57/18,854.56 = 5,176.45/x
  3. Step 3: Cross multiply
    12,580.57x = 18,854.56 × 5,176.45
  4. Step 4: Simplify right side
    12,580.57x = 97,599,646.45
  5. Step 5: Solve for x
    x = 97,599,646.45/12,580.57
  6. Step 6: Final answer
    x = 7,757.97

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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.