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Finding the Fourth Proportional to 38,543.45, 57,822.00 and 13,597.98

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Solution

The fourth proportional to 38,543.45, 57,822.00 and 13,597.98 is: 20,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,543.45 : 57,822.00 = 13,597.98 : x
  2. Step 2: Convert to fraction form
    38,543.45/57,822.00 = 13,597.98/x
  3. Step 3: Cross multiply
    38,543.45x = 57,822.00 × 13,597.98
  4. Step 4: Simplify right side
    38,543.45x = 786,262,208.22
  5. Step 5: Solve for x
    x = 786,262,208.22/38,543.45
  6. Step 6: Final answer
    x = 20,399.38

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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.