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Finding the Fourth Proportional to 38,300.64, 57,408.40 and 16,107.52

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Solution

The fourth proportional to 38,300.64, 57,408.40 and 16,107.52 is: 24,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,300.64 : 57,408.40 = 16,107.52 : x
  2. Step 2: Convert to fraction form
    38,300.64/57,408.40 = 16,107.52/x
  3. Step 3: Cross multiply
    38,300.64x = 57,408.40 × 16,107.52
  4. Step 4: Simplify right side
    38,300.64x = 924,706,951.17
  5. Step 5: Solve for x
    x = 924,706,951.17/38,300.64
  6. Step 6: Final answer
    x = 24,143.38

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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.