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Finding the Fourth Proportional to 13,806.38, 19,053 and 7,518.75

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Solution

The fourth proportional to 13,806.38, 19,053 and 7,518.75 is: 10,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.38 : 19,053 = 7,518.75 : x
  2. Step 2: Convert to fraction form
    13,806.38/19,053 = 7,518.75/x
  3. Step 3: Cross multiply
    13,806.38x = 19,053 × 7,518.75
  4. Step 4: Simplify right side
    13,806.38x = 143,254,743.75
  5. Step 5: Solve for x
    x = 143,254,743.75/13,806.38
  6. Step 6: Final answer
    x = 10,375.99

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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.