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Finding the Fourth Proportional to 25,782.21, 38,671.47 and 8,012.39

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Solution

The fourth proportional to 25,782.21, 38,671.47 and 8,012.39 is: 12,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.21 : 38,671.47 = 8,012.39 : x
  2. Step 2: Convert to fraction form
    25,782.21/38,671.47 = 8,012.39/x
  3. Step 3: Cross multiply
    25,782.21x = 38,671.47 × 8,012.39
  4. Step 4: Simplify right side
    25,782.21x = 309,850,706.16
  5. Step 5: Solve for x
    x = 309,850,706.16/25,782.21
  6. Step 6: Final answer
    x = 12,018.00

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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.