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Finding the Fourth Proportional to 38,263.96, 57,400.32 and 10,185.22

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Solution

The fourth proportional to 38,263.96, 57,400.32 and 10,185.22 is: 15,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,263.96 : 57,400.32 = 10,185.22 : x
  2. Step 2: Convert to fraction form
    38,263.96/57,400.32 = 10,185.22/x
  3. Step 3: Cross multiply
    38,263.96x = 57,400.32 × 10,185.22
  4. Step 4: Simplify right side
    38,263.96x = 584,634,887.27
  5. Step 5: Solve for x
    x = 584,634,887.27/38,263.96
  6. Step 6: Final answer
    x = 15,279.00

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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.