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Finding the Fourth Proportional to 38,610.80, 57,897.64 and 16,412.14

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Solution

The fourth proportional to 38,610.80, 57,897.64 and 16,412.14 is: 24,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,610.80 : 57,897.64 = 16,412.14 : x
  2. Step 2: Convert to fraction form
    38,610.80/57,897.64 = 16,412.14/x
  3. Step 3: Cross multiply
    38,610.80x = 57,897.64 × 16,412.14
  4. Step 4: Simplify right side
    38,610.80x = 950,224,173.35
  5. Step 5: Solve for x
    x = 950,224,173.35/38,610.80
  6. Step 6: Final answer
    x = 24,610.32

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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.