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Finding the Fourth Proportional to 13,261.56, 19,895.04 and 3,901.80

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Solution

The fourth proportional to 13,261.56, 19,895.04 and 3,901.80 is: 5,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,261.56 : 19,895.04 = 3,901.80 : x
  2. Step 2: Convert to fraction form
    13,261.56/19,895.04 = 3,901.80/x
  3. Step 3: Cross multiply
    13,261.56x = 19,895.04 × 3,901.80
  4. Step 4: Simplify right side
    13,261.56x = 77,626,467.07
  5. Step 5: Solve for x
    x = 77,626,467.07/13,261.56
  6. Step 6: Final answer
    x = 5,853.49

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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.