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Finding the Fourth Proportional to 21,058.53, 31,604.29 and 14,692

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Solution

The fourth proportional to 21,058.53, 31,604.29 and 14,692 is: 22,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,058.53 : 31,604.29 = 14,692 : x
  2. Step 2: Convert to fraction form
    21,058.53/31,604.29 = 14,692/x
  3. Step 3: Cross multiply
    21,058.53x = 31,604.29 × 14,692
  4. Step 4: Simplify right side
    21,058.53x = 464,330,228.68
  5. Step 5: Solve for x
    x = 464,330,228.68/21,058.53
  6. Step 6: Final answer
    x = 22,049.51

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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.