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Finding the Fourth Proportional to 20,588.84, 30,859.40 and 9,472.20

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Solution

The fourth proportional to 20,588.84, 30,859.40 and 9,472.20 is: 14,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.84 : 30,859.40 = 9,472.20 : x
  2. Step 2: Convert to fraction form
    20,588.84/30,859.40 = 9,472.20/x
  3. Step 3: Cross multiply
    20,588.84x = 30,859.40 × 9,472.20
  4. Step 4: Simplify right side
    20,588.84x = 292,306,408.68
  5. Step 5: Solve for x
    x = 292,306,408.68/20,588.84
  6. Step 6: Final answer
    x = 14,197.32

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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.