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Finding the Fourth Proportional to 12,285.72, 18,410.04 and 5,704.20

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Solution

The fourth proportional to 12,285.72, 18,410.04 and 5,704.20 is: 8,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.72 : 18,410.04 = 5,704.20 : x
  2. Step 2: Convert to fraction form
    12,285.72/18,410.04 = 5,704.20/x
  3. Step 3: Cross multiply
    12,285.72x = 18,410.04 × 5,704.20
  4. Step 4: Simplify right side
    12,285.72x = 105,014,550.17
  5. Step 5: Solve for x
    x = 105,014,550.17/12,285.72
  6. Step 6: Final answer
    x = 8,547.69

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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.