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Finding the Fourth Proportional to 38,492.90, 57,728.55 and 12,205.70

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Solution

The fourth proportional to 38,492.90, 57,728.55 and 12,205.70 is: 18,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492.90 : 57,728.55 = 12,205.70 : x
  2. Step 2: Convert to fraction form
    38,492.90/57,728.55 = 12,205.70/x
  3. Step 3: Cross multiply
    38,492.90x = 57,728.55 × 12,205.70
  4. Step 4: Simplify right side
    38,492.90x = 704,617,362.74
  5. Step 5: Solve for x
    x = 704,617,362.74/38,492.90
  6. Step 6: Final answer
    x = 18,305.13

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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.