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Finding the Fourth Proportional to 12,289.04, 16,958.84 and 6,700

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Solution

The fourth proportional to 12,289.04, 16,958.84 and 6,700 is: 9,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.04 : 16,958.84 = 6,700 : x
  2. Step 2: Convert to fraction form
    12,289.04/16,958.84 = 6,700/x
  3. Step 3: Cross multiply
    12,289.04x = 16,958.84 × 6,700
  4. Step 4: Simplify right side
    12,289.04x = 113,624,228
  5. Step 5: Solve for x
    x = 113,624,228/12,289.04
  6. Step 6: Final answer
    x = 9,245.98

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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.