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Finding the Fourth Proportional to 13,026, 19,544.48 and 6,787.60

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Solution

The fourth proportional to 13,026, 19,544.48 and 6,787.60 is: 10,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026 : 19,544.48 = 6,787.60 : x
  2. Step 2: Convert to fraction form
    13,026/19,544.48 = 6,787.60/x
  3. Step 3: Cross multiply
    13,026x = 19,544.48 × 6,787.60
  4. Step 4: Simplify right side
    13,026x = 132,660,112.45
  5. Step 5: Solve for x
    x = 132,660,112.45/13,026
  6. Step 6: Final answer
    x = 10,184.26

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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.