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Finding the Fourth Proportional to 14,787.19, 20,409.57 and 9,408.52

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Solution

The fourth proportional to 14,787.19, 20,409.57 and 9,408.52 is: 12,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787.19 : 20,409.57 = 9,408.52 : x
  2. Step 2: Convert to fraction form
    14,787.19/20,409.57 = 9,408.52/x
  3. Step 3: Cross multiply
    14,787.19x = 20,409.57 × 9,408.52
  4. Step 4: Simplify right side
    14,787.19x = 192,023,847.54
  5. Step 5: Solve for x
    x = 192,023,847.54/14,787.19
  6. Step 6: Final answer
    x = 12,985.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.