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Finding the Fourth Proportional to 13,380.36, 18,461.13 and 7,714.67

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Solution

The fourth proportional to 13,380.36, 18,461.13 and 7,714.67 is: 10,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.36 : 18,461.13 = 7,714.67 : x
  2. Step 2: Convert to fraction form
    13,380.36/18,461.13 = 7,714.67/x
  3. Step 3: Cross multiply
    13,380.36x = 18,461.13 × 7,714.67
  4. Step 4: Simplify right side
    13,380.36x = 142,421,433.47
  5. Step 5: Solve for x
    x = 142,421,433.47/13,380.36
  6. Step 6: Final answer
    x = 10,644.06

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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.