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Finding the Fourth Proportional to 21,103.74, 31,657.28 and 7,063.84

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Solution

The fourth proportional to 21,103.74, 31,657.28 and 7,063.84 is: 10,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,103.74 : 31,657.28 = 7,063.84 : x
  2. Step 2: Convert to fraction form
    21,103.74/31,657.28 = 7,063.84/x
  3. Step 3: Cross multiply
    21,103.74x = 31,657.28 × 7,063.84
  4. Step 4: Simplify right side
    21,103.74x = 223,621,960.76
  5. Step 5: Solve for x
    x = 223,621,960.76/21,103.74
  6. Step 6: Final answer
    x = 10,596.32

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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.