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Finding the Fourth Proportional to 17,275.41, 25,916.47 and 6,745.01

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Solution

The fourth proportional to 17,275.41, 25,916.47 and 6,745.01 is: 10,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,275.41 : 25,916.47 = 6,745.01 : x
  2. Step 2: Convert to fraction form
    17,275.41/25,916.47 = 6,745.01/x
  3. Step 3: Cross multiply
    17,275.41x = 25,916.47 × 6,745.01
  4. Step 4: Simplify right side
    17,275.41x = 174,806,702.87
  5. Step 5: Solve for x
    x = 174,806,702.87/17,275.41
  6. Step 6: Final answer
    x = 10,118.82

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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.