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Finding the Fourth Proportional to 13,071.92, 19,604.39 and 5,674.65

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Solution

The fourth proportional to 13,071.92, 19,604.39 and 5,674.65 is: 8,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.92 : 19,604.39 = 5,674.65 : x
  2. Step 2: Convert to fraction form
    13,071.92/19,604.39 = 5,674.65/x
  3. Step 3: Cross multiply
    13,071.92x = 19,604.39 × 5,674.65
  4. Step 4: Simplify right side
    13,071.92x = 111,248,051.71
  5. Step 5: Solve for x
    x = 111,248,051.71/13,071.92
  6. Step 6: Final answer
    x = 8,510.46

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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.