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Finding the Fourth Proportional to 13,840.98, 19,108.44 and 9,138.90

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Solution

The fourth proportional to 13,840.98, 19,108.44 and 9,138.90 is: 12,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.98 : 19,108.44 = 9,138.90 : x
  2. Step 2: Convert to fraction form
    13,840.98/19,108.44 = 9,138.90/x
  3. Step 3: Cross multiply
    13,840.98x = 19,108.44 × 9,138.90
  4. Step 4: Simplify right side
    13,840.98x = 174,630,122.32
  5. Step 5: Solve for x
    x = 174,630,122.32/13,840.98
  6. Step 6: Final answer
    x = 12,616.89

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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.