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Finding the Fourth Proportional to 30,802.86, 42,512.31 and 18,709.45

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Solution

The fourth proportional to 30,802.86, 42,512.31 and 18,709.45 is: 25,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.86 : 42,512.31 = 18,709.45 : x
  2. Step 2: Convert to fraction form
    30,802.86/42,512.31 = 18,709.45/x
  3. Step 3: Cross multiply
    30,802.86x = 42,512.31 × 18,709.45
  4. Step 4: Simplify right side
    30,802.86x = 795,381,832.05
  5. Step 5: Solve for x
    x = 795,381,832.05/30,802.86
  6. Step 6: Final answer
    x = 25,821.69

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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.