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Finding the Fourth Proportional to 13,858.72, 19,145.94 and 9,089.98

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Solution

The fourth proportional to 13,858.72, 19,145.94 and 9,089.98 is: 12,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.72 : 19,145.94 = 9,089.98 : x
  2. Step 2: Convert to fraction form
    13,858.72/19,145.94 = 9,089.98/x
  3. Step 3: Cross multiply
    13,858.72x = 19,145.94 × 9,089.98
  4. Step 4: Simplify right side
    13,858.72x = 174,036,211.68
  5. Step 5: Solve for x
    x = 174,036,211.68/13,858.72
  6. Step 6: Final answer
    x = 12,557.88

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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.