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Finding the Fourth Proportional to 12,289.50, 16,959.78 and 6,700.50

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Solution

The fourth proportional to 12,289.50, 16,959.78 and 6,700.50 is: 9,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.50 : 16,959.78 = 6,700.50 : x
  2. Step 2: Convert to fraction form
    12,289.50/16,959.78 = 6,700.50/x
  3. Step 3: Cross multiply
    12,289.50x = 16,959.78 × 6,700.50
  4. Step 4: Simplify right side
    12,289.50x = 113,639,005.89
  5. Step 5: Solve for x
    x = 113,639,005.89/12,289.50
  6. Step 6: Final answer
    x = 9,246.84

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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.