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Finding the Fourth Proportional to 21,785.63, 32,678.44 and 6,994.22

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Solution

The fourth proportional to 21,785.63, 32,678.44 and 6,994.22 is: 10,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.63 : 32,678.44 = 6,994.22 : x
  2. Step 2: Convert to fraction form
    21,785.63/32,678.44 = 6,994.22/x
  3. Step 3: Cross multiply
    21,785.63x = 32,678.44 × 6,994.22
  4. Step 4: Simplify right side
    21,785.63x = 228,560,017.74
  5. Step 5: Solve for x
    x = 228,560,017.74/21,785.63
  6. Step 6: Final answer
    x = 10,491.32

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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.