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Finding the Fourth Proportional to 14,467.82, 21,714.02 and 10,318

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Solution

The fourth proportional to 14,467.82, 21,714.02 and 10,318 is: 15,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.82 : 21,714.02 = 10,318 : x
  2. Step 2: Convert to fraction form
    14,467.82/21,714.02 = 10,318/x
  3. Step 3: Cross multiply
    14,467.82x = 21,714.02 × 10,318
  4. Step 4: Simplify right side
    14,467.82x = 224,045,258.36
  5. Step 5: Solve for x
    x = 224,045,258.36/14,467.82
  6. Step 6: Final answer
    x = 15,485.76

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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.