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Finding the Fourth Proportional to 29,213, 40,314 and 16,637.78

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Solution

The fourth proportional to 29,213, 40,314 and 16,637.78 is: 22,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,213 : 40,314 = 16,637.78 : x
  2. Step 2: Convert to fraction form
    29,213/40,314 = 16,637.78/x
  3. Step 3: Cross multiply
    29,213x = 40,314 × 16,637.78
  4. Step 4: Simplify right side
    29,213x = 670,735,462.92
  5. Step 5: Solve for x
    x = 670,735,462.92/29,213
  6. Step 6: Final answer
    x = 22,960.17

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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.