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Finding the Fourth Proportional to 16,894.80, 23,314.44 and 9,442.80

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Solution

The fourth proportional to 16,894.80, 23,314.44 and 9,442.80 is: 13,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.80 : 23,314.44 = 9,442.80 : x
  2. Step 2: Convert to fraction form
    16,894.80/23,314.44 = 9,442.80/x
  3. Step 3: Cross multiply
    16,894.80x = 23,314.44 × 9,442.80
  4. Step 4: Simplify right side
    16,894.80x = 220,153,594.03
  5. Step 5: Solve for x
    x = 220,153,594.03/16,894.80
  6. Step 6: Final answer
    x = 13,030.85

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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.