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Finding the Fourth Proportional to 29,532, 40,754.16 and 16,284

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Solution

The fourth proportional to 29,532, 40,754.16 and 16,284 is: 22,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,532 : 40,754.16 = 16,284 : x
  2. Step 2: Convert to fraction form
    29,532/40,754.16 = 16,284/x
  3. Step 3: Cross multiply
    29,532x = 40,754.16 × 16,284
  4. Step 4: Simplify right side
    29,532x = 663,640,741.44
  5. Step 5: Solve for x
    x = 663,640,741.44/29,532
  6. Step 6: Final answer
    x = 22,471.92

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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.