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Finding the Fourth Proportional to 12,705.56, 17,533.82 and 7,400.87

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Solution

The fourth proportional to 12,705.56, 17,533.82 and 7,400.87 is: 10,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.56 : 17,533.82 = 7,400.87 : x
  2. Step 2: Convert to fraction form
    12,705.56/17,533.82 = 7,400.87/x
  3. Step 3: Cross multiply
    12,705.56x = 17,533.82 × 7,400.87
  4. Step 4: Simplify right side
    12,705.56x = 129,765,477.38
  5. Step 5: Solve for x
    x = 129,765,477.38/12,705.56
  6. Step 6: Final answer
    x = 10,213.28

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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.