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Finding the Fourth Proportional to 21,380.98, 32,072.19 and 5,798.98

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Solution

The fourth proportional to 21,380.98, 32,072.19 and 5,798.98 is: 8,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.98 : 32,072.19 = 5,798.98 : x
  2. Step 2: Convert to fraction form
    21,380.98/32,072.19 = 5,798.98/x
  3. Step 3: Cross multiply
    21,380.98x = 32,072.19 × 5,798.98
  4. Step 4: Simplify right side
    21,380.98x = 185,985,988.37
  5. Step 5: Solve for x
    x = 185,985,988.37/21,380.98
  6. Step 6: Final answer
    x = 8,698.67

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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.