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Finding the Fourth Proportional to 16,427.37, 24,634.98 and 5,894.40

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Solution

The fourth proportional to 16,427.37, 24,634.98 and 5,894.40 is: 8,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.37 : 24,634.98 = 5,894.40 : x
  2. Step 2: Convert to fraction form
    16,427.37/24,634.98 = 5,894.40/x
  3. Step 3: Cross multiply
    16,427.37x = 24,634.98 × 5,894.40
  4. Step 4: Simplify right side
    16,427.37x = 145,208,426.11
  5. Step 5: Solve for x
    x = 145,208,426.11/16,427.37
  6. Step 6: Final answer
    x = 8,839.42

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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.