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Finding the Fourth Proportional to 19,745.52, 27,258.57 and 13,405.38

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Solution

The fourth proportional to 19,745.52, 27,258.57 and 13,405.38 is: 18,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745.52 : 27,258.57 = 13,405.38 : x
  2. Step 2: Convert to fraction form
    19,745.52/27,258.57 = 13,405.38/x
  3. Step 3: Cross multiply
    19,745.52x = 27,258.57 × 13,405.38
  4. Step 4: Simplify right side
    19,745.52x = 365,411,489.11
  5. Step 5: Solve for x
    x = 365,411,489.11/19,745.52
  6. Step 6: Final answer
    x = 18,506.05

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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.