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Finding the Fourth Proportional to 12,133.72, 16,744.98 and 6,830.20

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Solution

The fourth proportional to 12,133.72, 16,744.98 and 6,830.20 is: 9,425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.72 : 16,744.98 = 6,830.20 : x
  2. Step 2: Convert to fraction form
    12,133.72/16,744.98 = 6,830.20/x
  3. Step 3: Cross multiply
    12,133.72x = 16,744.98 × 6,830.20
  4. Step 4: Simplify right side
    12,133.72x = 114,371,562.40
  5. Step 5: Solve for x
    x = 114,371,562.40/12,133.72
  6. Step 6: Final answer
    x = 9,425.93

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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.