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Finding the Fourth Proportional to 12,784.89, 19,176.12 and 4,464.99

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Solution

The fourth proportional to 12,784.89, 19,176.12 and 4,464.99 is: 6,697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.89 : 19,176.12 = 4,464.99 : x
  2. Step 2: Convert to fraction form
    12,784.89/19,176.12 = 4,464.99/x
  3. Step 3: Cross multiply
    12,784.89x = 19,176.12 × 4,464.99
  4. Step 4: Simplify right side
    12,784.89x = 85,621,184.04
  5. Step 5: Solve for x
    x = 85,621,184.04/12,784.89
  6. Step 6: Final answer
    x = 6,697.06

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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.