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Finding the Fourth Proportional to 19,714.89, 27,206.61 and 12,641.34

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Solution

The fourth proportional to 19,714.89, 27,206.61 and 12,641.34 is: 17,445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.89 : 27,206.61 = 12,641.34 : x
  2. Step 2: Convert to fraction form
    19,714.89/27,206.61 = 12,641.34/x
  3. Step 3: Cross multiply
    19,714.89x = 27,206.61 × 12,641.34
  4. Step 4: Simplify right side
    19,714.89x = 343,928,007.26
  5. Step 5: Solve for x
    x = 343,928,007.26/19,714.89
  6. Step 6: Final answer
    x = 17,445.09

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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.