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Finding the Fourth Proportional to 13,858.76, 19,110.54 and 9,137

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Solution

The fourth proportional to 13,858.76, 19,110.54 and 9,137 is: 12,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.76 : 19,110.54 = 9,137 : x
  2. Step 2: Convert to fraction form
    13,858.76/19,110.54 = 9,137/x
  3. Step 3: Cross multiply
    13,858.76x = 19,110.54 × 9,137
  4. Step 4: Simplify right side
    13,858.76x = 174,613,003.98
  5. Step 5: Solve for x
    x = 174,613,003.98/13,858.76
  6. Step 6: Final answer
    x = 12,599.47

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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.