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Finding the Fourth Proportional to 13,460.21, 18,574.82 and 8,427.21

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Solution

The fourth proportional to 13,460.21, 18,574.82 and 8,427.21 is: 11,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.21 : 18,574.82 = 8,427.21 : x
  2. Step 2: Convert to fraction form
    13,460.21/18,574.82 = 8,427.21/x
  3. Step 3: Cross multiply
    13,460.21x = 18,574.82 × 8,427.21
  4. Step 4: Simplify right side
    13,460.21x = 156,533,828.66
  5. Step 5: Solve for x
    x = 156,533,828.66/13,460.21
  6. Step 6: Final answer
    x = 11,629.38

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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.