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Finding the Fourth Proportional to 13,012.65, 19,533.56 and 8,638.65

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Solution

The fourth proportional to 13,012.65, 19,533.56 and 8,638.65 is: 12,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.65 : 19,533.56 = 8,638.65 : x
  2. Step 2: Convert to fraction form
    13,012.65/19,533.56 = 8,638.65/x
  3. Step 3: Cross multiply
    13,012.65x = 19,533.56 × 8,638.65
  4. Step 4: Simplify right side
    13,012.65x = 168,743,544.90
  5. Step 5: Solve for x
    x = 168,743,544.90/13,012.65
  6. Step 6: Final answer
    x = 12,967.65

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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.