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Finding the Fourth Proportional to 20,442.49, 30,666.98 and 6,588.25

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Solution

The fourth proportional to 20,442.49, 30,666.98 and 6,588.25 is: 9,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442.49 : 30,666.98 = 6,588.25 : x
  2. Step 2: Convert to fraction form
    20,442.49/30,666.98 = 6,588.25/x
  3. Step 3: Cross multiply
    20,442.49x = 30,666.98 × 6,588.25
  4. Step 4: Simplify right side
    20,442.49x = 202,041,698.04
  5. Step 5: Solve for x
    x = 202,041,698.04/20,442.49
  6. Step 6: Final answer
    x = 9,883.42

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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.