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Finding the Fourth Proportional to 30,769.34, 42,464.88 and 18,840.60

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Solution

The fourth proportional to 30,769.34, 42,464.88 and 18,840.60 is: 26,001.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.34 : 42,464.88 = 18,840.60 : x
  2. Step 2: Convert to fraction form
    30,769.34/42,464.88 = 18,840.60/x
  3. Step 3: Cross multiply
    30,769.34x = 42,464.88 × 18,840.60
  4. Step 4: Simplify right side
    30,769.34x = 800,063,818.13
  5. Step 5: Solve for x
    x = 800,063,818.13/30,769.34
  6. Step 6: Final answer
    x = 26,001.99

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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.