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Finding the Fourth Proportional to 13,442.88, 18,548.82 and 9,197.40

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Solution

The fourth proportional to 13,442.88, 18,548.82 and 9,197.40 is: 12,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.88 : 18,548.82 = 9,197.40 : x
  2. Step 2: Convert to fraction form
    13,442.88/18,548.82 = 9,197.40/x
  3. Step 3: Cross multiply
    13,442.88x = 18,548.82 × 9,197.40
  4. Step 4: Simplify right side
    13,442.88x = 170,600,917.07
  5. Step 5: Solve for x
    x = 170,600,917.07/13,442.88
  6. Step 6: Final answer
    x = 12,690.80

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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.