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Finding the Fourth Proportional to 12,730.65, 19,097.27 and 4,410.65

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Solution

The fourth proportional to 12,730.65, 19,097.27 and 4,410.65 is: 6,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.65 : 19,097.27 = 4,410.65 : x
  2. Step 2: Convert to fraction form
    12,730.65/19,097.27 = 4,410.65/x
  3. Step 3: Cross multiply
    12,730.65x = 19,097.27 × 4,410.65
  4. Step 4: Simplify right side
    12,730.65x = 84,231,373.93
  5. Step 5: Solve for x
    x = 84,231,373.93/12,730.65
  6. Step 6: Final answer
    x = 6,616.42

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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.