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Finding the Fourth Proportional to 29,492, 40,698.96 and 16,244

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Solution

The fourth proportional to 29,492, 40,698.96 and 16,244 is: 22,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,492 : 40,698.96 = 16,244 : x
  2. Step 2: Convert to fraction form
    29,492/40,698.96 = 16,244/x
  3. Step 3: Cross multiply
    29,492x = 40,698.96 × 16,244
  4. Step 4: Simplify right side
    29,492x = 661,113,906.24
  5. Step 5: Solve for x
    x = 661,113,906.24/29,492
  6. Step 6: Final answer
    x = 22,416.72

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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.