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Finding the Fourth Proportional to 19,852, 27,396.16 and 10,899.48

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Solution

The fourth proportional to 19,852, 27,396.16 and 10,899.48 is: 15,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852 : 27,396.16 = 10,899.48 : x
  2. Step 2: Convert to fraction form
    19,852/27,396.16 = 10,899.48/x
  3. Step 3: Cross multiply
    19,852x = 27,396.16 × 10,899.48
  4. Step 4: Simplify right side
    19,852x = 298,603,898.00
  5. Step 5: Solve for x
    x = 298,603,898.00/19,852
  6. Step 6: Final answer
    x = 15,041.50

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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.