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Finding the Fourth Proportional to 13,758.56, 20,637.94 and 3,370.32

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Solution

The fourth proportional to 13,758.56, 20,637.94 and 3,370.32 is: 5,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.56 : 20,637.94 = 3,370.32 : x
  2. Step 2: Convert to fraction form
    13,758.56/20,637.94 = 3,370.32/x
  3. Step 3: Cross multiply
    13,758.56x = 20,637.94 × 3,370.32
  4. Step 4: Simplify right side
    13,758.56x = 69,556,461.94
  5. Step 5: Solve for x
    x = 69,556,461.94/13,758.56
  6. Step 6: Final answer
    x = 5,055.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.