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Finding the Fourth Proportional to 30,897.32, 42,623.96 and 18,146.43

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Solution

The fourth proportional to 30,897.32, 42,623.96 and 18,146.43 is: 25,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.32 : 42,623.96 = 18,146.43 : x
  2. Step 2: Convert to fraction form
    30,897.32/42,623.96 = 18,146.43/x
  3. Step 3: Cross multiply
    30,897.32x = 42,623.96 × 18,146.43
  4. Step 4: Simplify right side
    30,897.32x = 773,472,615.73
  5. Step 5: Solve for x
    x = 773,472,615.73/30,897.32
  6. Step 6: Final answer
    x = 25,033.65

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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.