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Finding the Fourth Proportional to 29,709, 40,998.44 and 16,461

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Solution

The fourth proportional to 29,709, 40,998.44 and 16,461 is: 22,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709 : 40,998.44 = 16,461 : x
  2. Step 2: Convert to fraction form
    29,709/40,998.44 = 16,461/x
  3. Step 3: Cross multiply
    29,709x = 40,998.44 × 16,461
  4. Step 4: Simplify right side
    29,709x = 674,875,320.84
  5. Step 5: Solve for x
    x = 674,875,320.84/29,709
  6. Step 6: Final answer
    x = 22,716.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.