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Finding the Fourth Proportional to 38,011.86, 57,020.13 and 14,638.32

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Solution

The fourth proportional to 38,011.86, 57,020.13 and 14,638.32 is: 21,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,011.86 : 57,020.13 = 14,638.32 : x
  2. Step 2: Convert to fraction form
    38,011.86/57,020.13 = 14,638.32/x
  3. Step 3: Cross multiply
    38,011.86x = 57,020.13 × 14,638.32
  4. Step 4: Simplify right side
    38,011.86x = 834,678,909.38
  5. Step 5: Solve for x
    x = 834,678,909.38/38,011.86
  6. Step 6: Final answer
    x = 21,958.38

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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.