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Finding the Fourth Proportional to 17,114.40, 25,671.36 and 5,427.72

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Solution

The fourth proportional to 17,114.40, 25,671.36 and 5,427.72 is: 8,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.40 : 25,671.36 = 5,427.72 : x
  2. Step 2: Convert to fraction form
    17,114.40/25,671.36 = 5,427.72/x
  3. Step 3: Cross multiply
    17,114.40x = 25,671.36 × 5,427.72
  4. Step 4: Simplify right side
    17,114.40x = 139,336,954.10
  5. Step 5: Solve for x
    x = 139,336,954.10/17,114.40
  6. Step 6: Final answer
    x = 8,141.50

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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.