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Finding the Fourth Proportional to 21,394.44, 32,095.94 and 6,602.80

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Solution

The fourth proportional to 21,394.44, 32,095.94 and 6,602.80 is: 9,905.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394.44 : 32,095.94 = 6,602.80 : x
  2. Step 2: Convert to fraction form
    21,394.44/32,095.94 = 6,602.80/x
  3. Step 3: Cross multiply
    21,394.44x = 32,095.94 × 6,602.80
  4. Step 4: Simplify right side
    21,394.44x = 211,923,072.63
  5. Step 5: Solve for x
    x = 211,923,072.63/21,394.44
  6. Step 6: Final answer
    x = 9,905.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.