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Finding the Fourth Proportional to 21,369.80, 32,042.94 and 6,574.60

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Solution

The fourth proportional to 21,369.80, 32,042.94 and 6,574.60 is: 9,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,369.80 : 32,042.94 = 6,574.60 : x
  2. Step 2: Convert to fraction form
    21,369.80/32,042.94 = 6,574.60/x
  3. Step 3: Cross multiply
    21,369.80x = 32,042.94 × 6,574.60
  4. Step 4: Simplify right side
    21,369.80x = 210,669,513.32
  5. Step 5: Solve for x
    x = 210,669,513.32/21,369.80
  6. Step 6: Final answer
    x = 9,858.28

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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.