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Finding the Fourth Proportional to 13,566.34, 20,351.34 and 12,746.22

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Solution

The fourth proportional to 13,566.34, 20,351.34 and 12,746.22 is: 19,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566.34 : 20,351.34 = 12,746.22 : x
  2. Step 2: Convert to fraction form
    13,566.34/20,351.34 = 12,746.22/x
  3. Step 3: Cross multiply
    13,566.34x = 20,351.34 × 12,746.22
  4. Step 4: Simplify right side
    13,566.34x = 259,402,656.93
  5. Step 5: Solve for x
    x = 259,402,656.93/13,566.34
  6. Step 6: Final answer
    x = 19,121.05

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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.