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Finding the Fourth Proportional to 16,466.37, 24,695.13 and 4,619.46

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Solution

The fourth proportional to 16,466.37, 24,695.13 and 4,619.46 is: 6,927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.37 : 24,695.13 = 4,619.46 : x
  2. Step 2: Convert to fraction form
    16,466.37/24,695.13 = 4,619.46/x
  3. Step 3: Cross multiply
    16,466.37x = 24,695.13 × 4,619.46
  4. Step 4: Simplify right side
    16,466.37x = 114,078,165.23
  5. Step 5: Solve for x
    x = 114,078,165.23/16,466.37
  6. Step 6: Final answer
    x = 6,927.95

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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.