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Finding the Fourth Proportional to 13,081.65, 19,622.03 and 5,686.10

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Solution

The fourth proportional to 13,081.65, 19,622.03 and 5,686.10 is: 8,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081.65 : 19,622.03 = 5,686.10 : x
  2. Step 2: Convert to fraction form
    13,081.65/19,622.03 = 5,686.10/x
  3. Step 3: Cross multiply
    13,081.65x = 19,622.03 × 5,686.10
  4. Step 4: Simplify right side
    13,081.65x = 111,572,771.82
  5. Step 5: Solve for x
    x = 111,572,771.82/13,081.65
  6. Step 6: Final answer
    x = 8,528.95

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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.