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Finding the Fourth Proportional to 13,478.74, 20,222.06 and 4,714.34

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Solution

The fourth proportional to 13,478.74, 20,222.06 and 4,714.34 is: 7,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.74 : 20,222.06 = 4,714.34 : x
  2. Step 2: Convert to fraction form
    13,478.74/20,222.06 = 4,714.34/x
  3. Step 3: Cross multiply
    13,478.74x = 20,222.06 × 4,714.34
  4. Step 4: Simplify right side
    13,478.74x = 95,333,541.66
  5. Step 5: Solve for x
    x = 95,333,541.66/13,478.74
  6. Step 6: Final answer
    x = 7,072.88

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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.