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Finding the Fourth Proportional to 29,161.68, 40,238.55 and 16,584

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Solution

The fourth proportional to 29,161.68, 40,238.55 and 16,584 is: 22,883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,161.68 : 40,238.55 = 16,584 : x
  2. Step 2: Convert to fraction form
    29,161.68/40,238.55 = 16,584/x
  3. Step 3: Cross multiply
    29,161.68x = 40,238.55 × 16,584
  4. Step 4: Simplify right side
    29,161.68x = 667,316,113.20
  5. Step 5: Solve for x
    x = 667,316,113.20/29,161.68
  6. Step 6: Final answer
    x = 22,883.32

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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.