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Finding the Fourth Proportional to 16,378.98, 22,603.79 and 9,211.15

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Solution

The fourth proportional to 16,378.98, 22,603.79 and 9,211.15 is: 12,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.98 : 22,603.79 = 9,211.15 : x
  2. Step 2: Convert to fraction form
    16,378.98/22,603.79 = 9,211.15/x
  3. Step 3: Cross multiply
    16,378.98x = 22,603.79 × 9,211.15
  4. Step 4: Simplify right side
    16,378.98x = 208,206,900.26
  5. Step 5: Solve for x
    x = 208,206,900.26/16,378.98
  6. Step 6: Final answer
    x = 12,711.84

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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.