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Finding the Fourth Proportional to 13,796.88, 19,048.68 and 9,089.16

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Solution

The fourth proportional to 13,796.88, 19,048.68 and 9,089.16 is: 12,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.88 : 19,048.68 = 9,089.16 : x
  2. Step 2: Convert to fraction form
    13,796.88/19,048.68 = 9,089.16/x
  3. Step 3: Cross multiply
    13,796.88x = 19,048.68 × 9,089.16
  4. Step 4: Simplify right side
    13,796.88x = 173,136,500.31
  5. Step 5: Solve for x
    x = 173,136,500.31/13,796.88
  6. Step 6: Final answer
    x = 12,548.96

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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.