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Finding the Fourth Proportional to 19,886.68, 29,828.10 and 6,738.36

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Solution

The fourth proportional to 19,886.68, 29,828.10 and 6,738.36 is: 10,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,886.68 : 29,828.10 = 6,738.36 : x
  2. Step 2: Convert to fraction form
    19,886.68/29,828.10 = 6,738.36/x
  3. Step 3: Cross multiply
    19,886.68x = 29,828.10 × 6,738.36
  4. Step 4: Simplify right side
    19,886.68x = 200,992,475.92
  5. Step 5: Solve for x
    x = 200,992,475.92/19,886.68
  6. Step 6: Final answer
    x = 10,106.89

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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.