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Finding the Fourth Proportional to 27,840.80, 41,804.40 and 16,176.80

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Solution

The fourth proportional to 27,840.80, 41,804.40 and 16,176.80 is: 24,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840.80 : 41,804.40 = 16,176.80 : x
  2. Step 2: Convert to fraction form
    27,840.80/41,804.40 = 16,176.80/x
  3. Step 3: Cross multiply
    27,840.80x = 41,804.40 × 16,176.80
  4. Step 4: Simplify right side
    27,840.80x = 676,261,417.92
  5. Step 5: Solve for x
    x = 676,261,417.92/27,840.80
  6. Step 6: Final answer
    x = 24,290.30

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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.