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Finding the Fourth Proportional to 20,549.40, 30,824.30 and 6,509.16

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Solution

The fourth proportional to 20,549.40, 30,824.30 and 6,509.16 is: 9,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.40 : 30,824.30 = 6,509.16 : x
  2. Step 2: Convert to fraction form
    20,549.40/30,824.30 = 6,509.16/x
  3. Step 3: Cross multiply
    20,549.40x = 30,824.30 × 6,509.16
  4. Step 4: Simplify right side
    20,549.40x = 200,640,300.59
  5. Step 5: Solve for x
    x = 200,640,300.59/20,549.40
  6. Step 6: Final answer
    x = 9,763.80

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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.