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Finding the Fourth Proportional to 12,827.40, 19,208.70 and 8,133.12

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Solution

The fourth proportional to 12,827.40, 19,208.70 and 8,133.12 is: 12,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.40 : 19,208.70 = 8,133.12 : x
  2. Step 2: Convert to fraction form
    12,827.40/19,208.70 = 8,133.12/x
  3. Step 3: Cross multiply
    12,827.40x = 19,208.70 × 8,133.12
  4. Step 4: Simplify right side
    12,827.40x = 156,226,662.14
  5. Step 5: Solve for x
    x = 156,226,662.14/12,827.40
  6. Step 6: Final answer
    x = 12,179.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.