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Finding the Fourth Proportional to 19,712.10, 27,202.72 and 12,638.52

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Solution

The fourth proportional to 19,712.10, 27,202.72 and 12,638.52 is: 17,441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712.10 : 27,202.72 = 12,638.52 : x
  2. Step 2: Convert to fraction form
    19,712.10/27,202.72 = 12,638.52/x
  3. Step 3: Cross multiply
    19,712.10x = 27,202.72 × 12,638.52
  4. Step 4: Simplify right side
    19,712.10x = 343,802,057.58
  5. Step 5: Solve for x
    x = 343,802,057.58/19,712.10
  6. Step 6: Final answer
    x = 17,441.17

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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.