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Finding the Fourth Proportional to 13,078.60, 19,589.10 and 11,350.60

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Solution

The fourth proportional to 13,078.60, 19,589.10 and 11,350.60 is: 17,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.60 : 19,589.10 = 11,350.60 : x
  2. Step 2: Convert to fraction form
    13,078.60/19,589.10 = 11,350.60/x
  3. Step 3: Cross multiply
    13,078.60x = 19,589.10 × 11,350.60
  4. Step 4: Simplify right side
    13,078.60x = 222,348,038.46
  5. Step 5: Solve for x
    x = 222,348,038.46/13,078.60
  6. Step 6: Final answer
    x = 17,000.91

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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.