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Finding the Fourth Proportional to 12,905.73, 19,331.87 and 10,427.13

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Solution

The fourth proportional to 12,905.73, 19,331.87 and 10,427.13 is: 15,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.73 : 19,331.87 = 10,427.13 : x
  2. Step 2: Convert to fraction form
    12,905.73/19,331.87 = 10,427.13/x
  3. Step 3: Cross multiply
    12,905.73x = 19,331.87 × 10,427.13
  4. Step 4: Simplify right side
    12,905.73x = 201,575,869.50
  5. Step 5: Solve for x
    x = 201,575,869.50/12,905.73
  6. Step 6: Final answer
    x = 15,619.10

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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.