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Finding the Fourth Proportional to 25,702.02, 38,554.26 and 8,172

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Solution

The fourth proportional to 25,702.02, 38,554.26 and 8,172 is: 12,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.02 : 38,554.26 = 8,172 : x
  2. Step 2: Convert to fraction form
    25,702.02/38,554.26 = 8,172/x
  3. Step 3: Cross multiply
    25,702.02x = 38,554.26 × 8,172
  4. Step 4: Simplify right side
    25,702.02x = 315,065,412.72
  5. Step 5: Solve for x
    x = 315,065,412.72/25,702.02
  6. Step 6: Final answer
    x = 12,258.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.