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Finding the Fourth Proportional to 30,814.81, 42,524.43 and 17,385.94

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Solution

The fourth proportional to 30,814.81, 42,524.43 and 17,385.94 is: 23,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.81 : 42,524.43 = 17,385.94 : x
  2. Step 2: Convert to fraction form
    30,814.81/42,524.43 = 17,385.94/x
  3. Step 3: Cross multiply
    30,814.81x = 42,524.43 × 17,385.94
  4. Step 4: Simplify right side
    30,814.81x = 739,327,188.51
  5. Step 5: Solve for x
    x = 739,327,188.51/30,814.81
  6. Step 6: Final answer
    x = 23,992.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.