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Finding the Fourth Proportional to 29,703.24, 40,981.68 and 16,956

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Solution

The fourth proportional to 29,703.24, 40,981.68 and 16,956 is: 23,394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,703.24 : 40,981.68 = 16,956 : x
  2. Step 2: Convert to fraction form
    29,703.24/40,981.68 = 16,956/x
  3. Step 3: Cross multiply
    29,703.24x = 40,981.68 × 16,956
  4. Step 4: Simplify right side
    29,703.24x = 694,885,366.08
  5. Step 5: Solve for x
    x = 694,885,366.08/29,703.24
  6. Step 6: Final answer
    x = 23,394.26

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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.