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Finding the Fourth Proportional to 13,727.58, 20,475.36 and 13,312.23

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Solution

The fourth proportional to 13,727.58, 20,475.36 and 13,312.23 is: 19,855.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727.58 : 20,475.36 = 13,312.23 : x
  2. Step 2: Convert to fraction form
    13,727.58/20,475.36 = 13,312.23/x
  3. Step 3: Cross multiply
    13,727.58x = 20,475.36 × 13,312.23
  4. Step 4: Simplify right side
    13,727.58x = 272,572,701.65
  5. Step 5: Solve for x
    x = 272,572,701.65/13,727.58
  6. Step 6: Final answer
    x = 19,855.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.