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Finding the Fourth Proportional to 13,206.65, 19,808.99 and 4,882.77

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Solution

The fourth proportional to 13,206.65, 19,808.99 and 4,882.77 is: 7,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.65 : 19,808.99 = 4,882.77 : x
  2. Step 2: Convert to fraction form
    13,206.65/19,808.99 = 4,882.77/x
  3. Step 3: Cross multiply
    13,206.65x = 19,808.99 × 4,882.77
  4. Step 4: Simplify right side
    13,206.65x = 96,722,742.10
  5. Step 5: Solve for x
    x = 96,722,742.10/13,206.65
  6. Step 6: Final answer
    x = 7,323.79

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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.