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Finding the Fourth Proportional to 20,456.16, 30,684.29 and 6,605.16

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Solution

The fourth proportional to 20,456.16, 30,684.29 and 6,605.16 is: 9,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.16 : 30,684.29 = 6,605.16 : x
  2. Step 2: Convert to fraction form
    20,456.16/30,684.29 = 6,605.16/x
  3. Step 3: Cross multiply
    20,456.16x = 30,684.29 × 6,605.16
  4. Step 4: Simplify right side
    20,456.16x = 202,674,496.84
  5. Step 5: Solve for x
    x = 202,674,496.84/20,456.16
  6. Step 6: Final answer
    x = 9,907.75

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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.