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Finding the Fourth Proportional to 30,796.47, 42,495.21 and 18,054

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Solution

The fourth proportional to 30,796.47, 42,495.21 and 18,054 is: 24,912.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.47 : 42,495.21 = 18,054 : x
  2. Step 2: Convert to fraction form
    30,796.47/42,495.21 = 18,054/x
  3. Step 3: Cross multiply
    30,796.47x = 42,495.21 × 18,054
  4. Step 4: Simplify right side
    30,796.47x = 767,208,521.34
  5. Step 5: Solve for x
    x = 767,208,521.34/30,796.47
  6. Step 6: Final answer
    x = 24,912.22

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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.