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Finding the Fourth Proportional to 38,226.84, 57,350.14 and 14,534.84

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Solution

The fourth proportional to 38,226.84, 57,350.14 and 14,534.84 is: 21,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,226.84 : 57,350.14 = 14,534.84 : x
  2. Step 2: Convert to fraction form
    38,226.84/57,350.14 = 14,534.84/x
  3. Step 3: Cross multiply
    38,226.84x = 57,350.14 × 14,534.84
  4. Step 4: Simplify right side
    38,226.84x = 833,575,108.88
  5. Step 5: Solve for x
    x = 833,575,108.88/38,226.84
  6. Step 6: Final answer
    x = 21,806.02

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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.