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Finding the Fourth Proportional to 13,071.65, 19,614.57 and 5,676.08

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Solution

The fourth proportional to 13,071.65, 19,614.57 and 5,676.08 is: 8,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.65 : 19,614.57 = 5,676.08 : x
  2. Step 2: Convert to fraction form
    13,071.65/19,614.57 = 5,676.08/x
  3. Step 3: Cross multiply
    13,071.65x = 19,614.57 × 5,676.08
  4. Step 4: Simplify right side
    13,071.65x = 111,333,840.11
  5. Step 5: Solve for x
    x = 111,333,840.11/13,071.65
  6. Step 6: Final answer
    x = 8,517.20

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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.