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Finding the Fourth Proportional to 25,558.66, 38,339.34 and 7,787.95

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Solution

The fourth proportional to 25,558.66, 38,339.34 and 7,787.95 is: 11,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,558.66 : 38,339.34 = 7,787.95 : x
  2. Step 2: Convert to fraction form
    25,558.66/38,339.34 = 7,787.95/x
  3. Step 3: Cross multiply
    25,558.66x = 38,339.34 × 7,787.95
  4. Step 4: Simplify right side
    25,558.66x = 298,584,737.90
  5. Step 5: Solve for x
    x = 298,584,737.90/25,558.66
  6. Step 6: Final answer
    x = 11,682.33

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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.