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Finding the Fourth Proportional to 12,893.51, 19,340.27 and 3,533.60

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Solution

The fourth proportional to 12,893.51, 19,340.27 and 3,533.60 is: 5,300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.51 : 19,340.27 = 3,533.60 : x
  2. Step 2: Convert to fraction form
    12,893.51/19,340.27 = 3,533.60/x
  3. Step 3: Cross multiply
    12,893.51x = 19,340.27 × 3,533.60
  4. Step 4: Simplify right side
    12,893.51x = 68,340,808.75
  5. Step 5: Solve for x
    x = 68,340,808.75/12,893.51
  6. Step 6: Final answer
    x = 5,300.41

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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.