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Finding the Fourth Proportional to 25,790.25, 38,702.67 and 9,374.25

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Solution

The fourth proportional to 25,790.25, 38,702.67 and 9,374.25 is: 14,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,790.25 : 38,702.67 = 9,374.25 : x
  2. Step 2: Convert to fraction form
    25,790.25/38,702.67 = 9,374.25/x
  3. Step 3: Cross multiply
    25,790.25x = 38,702.67 × 9,374.25
  4. Step 4: Simplify right side
    25,790.25x = 362,808,504.25
  5. Step 5: Solve for x
    x = 362,808,504.25/25,790.25
  6. Step 6: Final answer
    x = 14,067.66

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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.