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Finding the Fourth Proportional to 16,948, 25,422.88 and 6,416.96

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Solution

The fourth proportional to 16,948, 25,422.88 and 6,416.96 is: 9,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,948 : 25,422.88 = 6,416.96 : x
  2. Step 2: Convert to fraction form
    16,948/25,422.88 = 6,416.96/x
  3. Step 3: Cross multiply
    16,948x = 25,422.88 × 6,416.96
  4. Step 4: Simplify right side
    16,948x = 163,137,604.04
  5. Step 5: Solve for x
    x = 163,137,604.04/16,948
  6. Step 6: Final answer
    x = 9,625.77

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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.