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Finding the Fourth Proportional to 12,176.30, 16,804.86 and 7,140.80

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Solution

The fourth proportional to 12,176.30, 16,804.86 and 7,140.80 is: 9,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.30 : 16,804.86 = 7,140.80 : x
  2. Step 2: Convert to fraction form
    12,176.30/16,804.86 = 7,140.80/x
  3. Step 3: Cross multiply
    12,176.30x = 16,804.86 × 7,140.80
  4. Step 4: Simplify right side
    12,176.30x = 120,000,144.29
  5. Step 5: Solve for x
    x = 120,000,144.29/12,176.30
  6. Step 6: Final answer
    x = 9,855.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.