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Finding the Fourth Proportional to 38,014.60, 57,021.90 and 9,934.60

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Solution

The fourth proportional to 38,014.60, 57,021.90 and 9,934.60 is: 14,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,014.60 : 57,021.90 = 9,934.60 : x
  2. Step 2: Convert to fraction form
    38,014.60/57,021.90 = 9,934.60/x
  3. Step 3: Cross multiply
    38,014.60x = 57,021.90 × 9,934.60
  4. Step 4: Simplify right side
    38,014.60x = 566,489,767.74
  5. Step 5: Solve for x
    x = 566,489,767.74/38,014.60
  6. Step 6: Final answer
    x = 14,901.90

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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.