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Finding the Fourth Proportional to 29,697, 40,981.86 and 16,451.56

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Solution

The fourth proportional to 29,697, 40,981.86 and 16,451.56 is: 22,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697 : 40,981.86 = 16,451.56 : x
  2. Step 2: Convert to fraction form
    29,697/40,981.86 = 16,451.56/x
  3. Step 3: Cross multiply
    29,697x = 40,981.86 × 16,451.56
  4. Step 4: Simplify right side
    29,697x = 674,215,528.70
  5. Step 5: Solve for x
    x = 674,215,528.70/29,697
  6. Step 6: Final answer
    x = 22,703.15

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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.