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Finding the Fourth Proportional to 13,563.65, 18,719.62 and 7,898.50

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Solution

The fourth proportional to 13,563.65, 18,719.62 and 7,898.50 is: 10,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.65 : 18,719.62 = 7,898.50 : x
  2. Step 2: Convert to fraction form
    13,563.65/18,719.62 = 7,898.50/x
  3. Step 3: Cross multiply
    13,563.65x = 18,719.62 × 7,898.50
  4. Step 4: Simplify right side
    13,563.65x = 147,856,918.57
  5. Step 5: Solve for x
    x = 147,856,918.57/13,563.65
  6. Step 6: Final answer
    x = 10,900.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.