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Finding the Fourth Proportional to 12,415.40, 17,133.02 and 6,826.28

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Solution

The fourth proportional to 12,415.40, 17,133.02 and 6,826.28 is: 9,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.40 : 17,133.02 = 6,826.28 : x
  2. Step 2: Convert to fraction form
    12,415.40/17,133.02 = 6,826.28/x
  3. Step 3: Cross multiply
    12,415.40x = 17,133.02 × 6,826.28
  4. Step 4: Simplify right side
    12,415.40x = 116,954,791.77
  5. Step 5: Solve for x
    x = 116,954,791.77/12,415.40
  6. Step 6: Final answer
    x = 9,420.14

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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.