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Finding the Fourth Proportional to 21,657, 29,887.25 and 13,156.23

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Solution

The fourth proportional to 21,657, 29,887.25 and 13,156.23 is: 18,155.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657 : 29,887.25 = 13,156.23 : x
  2. Step 2: Convert to fraction form
    21,657/29,887.25 = 13,156.23/x
  3. Step 3: Cross multiply
    21,657x = 29,887.25 × 13,156.23
  4. Step 4: Simplify right side
    21,657x = 393,203,469.29
  5. Step 5: Solve for x
    x = 393,203,469.29/21,657
  6. Step 6: Final answer
    x = 18,155.95

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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.