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Finding the Fourth Proportional to 27,854.32, 41,762.79 and 10,971.90

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Solution

The fourth proportional to 27,854.32, 41,762.79 and 10,971.90 is: 16,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.32 : 41,762.79 = 10,971.90 : x
  2. Step 2: Convert to fraction form
    27,854.32/41,762.79 = 10,971.90/x
  3. Step 3: Cross multiply
    27,854.32x = 41,762.79 × 10,971.90
  4. Step 4: Simplify right side
    27,854.32x = 458,217,155.60
  5. Step 5: Solve for x
    x = 458,217,155.60/27,854.32
  6. Step 6: Final answer
    x = 16,450.49

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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.