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Finding the Fourth Proportional to 21,041.41, 31,604.15 and 13,157.95

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Solution

The fourth proportional to 21,041.41, 31,604.15 and 13,157.95 is: 19,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,041.41 : 31,604.15 = 13,157.95 : x
  2. Step 2: Convert to fraction form
    21,041.41/31,604.15 = 13,157.95/x
  3. Step 3: Cross multiply
    21,041.41x = 31,604.15 × 13,157.95
  4. Step 4: Simplify right side
    21,041.41x = 415,845,825.49
  5. Step 5: Solve for x
    x = 415,845,825.49/21,041.41
  6. Step 6: Final answer
    x = 19,763.21

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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.