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Finding the Fourth Proportional to 20,259.68, 30,389.16 and 6,408.68

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Solution

The fourth proportional to 20,259.68, 30,389.16 and 6,408.68 is: 9,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,259.68 : 30,389.16 = 6,408.68 : x
  2. Step 2: Convert to fraction form
    20,259.68/30,389.16 = 6,408.68/x
  3. Step 3: Cross multiply
    20,259.68x = 30,389.16 × 6,408.68
  4. Step 4: Simplify right side
    20,259.68x = 194,754,401.91
  5. Step 5: Solve for x
    x = 194,754,401.91/20,259.68
  6. Step 6: Final answer
    x = 9,612.91

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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.