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Finding the Fourth Proportional to 12,729.65, 19,095.77 and 4,409.65

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Solution

The fourth proportional to 12,729.65, 19,095.77 and 4,409.65 is: 6,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.65 : 19,095.77 = 4,409.65 : x
  2. Step 2: Convert to fraction form
    12,729.65/19,095.77 = 4,409.65/x
  3. Step 3: Cross multiply
    12,729.65x = 19,095.77 × 4,409.65
  4. Step 4: Simplify right side
    12,729.65x = 84,205,662.18
  5. Step 5: Solve for x
    x = 84,205,662.18/12,729.65
  6. Step 6: Final answer
    x = 6,614.92

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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.