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Finding the Fourth Proportional to 21,042.41, 31,605.65 and 13,158.95

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Solution

The fourth proportional to 21,042.41, 31,605.65 and 13,158.95 is: 19,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042.41 : 31,605.65 = 13,158.95 : x
  2. Step 2: Convert to fraction form
    21,042.41/31,605.65 = 13,158.95/x
  3. Step 3: Cross multiply
    21,042.41x = 31,605.65 × 13,158.95
  4. Step 4: Simplify right side
    21,042.41x = 415,897,168.07
  5. Step 5: Solve for x
    x = 415,897,168.07/21,042.41
  6. Step 6: Final answer
    x = 19,764.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.