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Finding the Fourth Proportional to 13,312.56, 19,991.12 and 12,782.80

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Solution

The fourth proportional to 13,312.56, 19,991.12 and 12,782.80 is: 19,195.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312.56 : 19,991.12 = 12,782.80 : x
  2. Step 2: Convert to fraction form
    13,312.56/19,991.12 = 12,782.80/x
  3. Step 3: Cross multiply
    13,312.56x = 19,991.12 × 12,782.80
  4. Step 4: Simplify right side
    13,312.56x = 255,542,488.74
  5. Step 5: Solve for x
    x = 255,542,488.74/13,312.56
  6. Step 6: Final answer
    x = 19,195.59

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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.