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Finding the Fourth Proportional to 20,009.20, 30,013.80 and 17,762.80

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Solution

The fourth proportional to 20,009.20, 30,013.80 and 17,762.80 is: 26,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009.20 : 30,013.80 = 17,762.80 : x
  2. Step 2: Convert to fraction form
    20,009.20/30,013.80 = 17,762.80/x
  3. Step 3: Cross multiply
    20,009.20x = 30,013.80 × 17,762.80
  4. Step 4: Simplify right side
    20,009.20x = 533,129,126.64
  5. Step 5: Solve for x
    x = 533,129,126.64/20,009.20
  6. Step 6: Final answer
    x = 26,644.20

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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.