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Finding the Fourth Proportional to 16,238.94, 24,355.64 and 4,549.46

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Solution

The fourth proportional to 16,238.94, 24,355.64 and 4,549.46 is: 6,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.94 : 24,355.64 = 4,549.46 : x
  2. Step 2: Convert to fraction form
    16,238.94/24,355.64 = 4,549.46/x
  3. Step 3: Cross multiply
    16,238.94x = 24,355.64 × 4,549.46
  4. Step 4: Simplify right side
    16,238.94x = 110,805,009.95
  5. Step 5: Solve for x
    x = 110,805,009.95/16,238.94
  6. Step 6: Final answer
    x = 6,823.41

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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.