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Finding the Fourth Proportional to 38,513.88, 57,774.06 and 12,213.18

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Solution

The fourth proportional to 38,513.88, 57,774.06 and 12,213.18 is: 18,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,513.88 : 57,774.06 = 12,213.18 : x
  2. Step 2: Convert to fraction form
    38,513.88/57,774.06 = 12,213.18/x
  3. Step 3: Cross multiply
    38,513.88x = 57,774.06 × 12,213.18
  4. Step 4: Simplify right side
    38,513.88x = 705,604,994.11
  5. Step 5: Solve for x
    x = 705,604,994.11/38,513.88
  6. Step 6: Final answer
    x = 18,320.80

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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.