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Finding the Fourth Proportional to 13,118.98, 19,675.38 and 3,758.86

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Solution

The fourth proportional to 13,118.98, 19,675.38 and 3,758.86 is: 5,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,118.98 : 19,675.38 = 3,758.86 : x
  2. Step 2: Convert to fraction form
    13,118.98/19,675.38 = 3,758.86/x
  3. Step 3: Cross multiply
    13,118.98x = 19,675.38 × 3,758.86
  4. Step 4: Simplify right side
    13,118.98x = 73,956,998.87
  5. Step 5: Solve for x
    x = 73,956,998.87/13,118.98
  6. Step 6: Final answer
    x = 5,637.40

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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.