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Finding the Fourth Proportional to 15,825.64, 21,843.92 and 10,452

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Solution

The fourth proportional to 15,825.64, 21,843.92 and 10,452 is: 14,426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.64 : 21,843.92 = 10,452 : x
  2. Step 2: Convert to fraction form
    15,825.64/21,843.92 = 10,452/x
  3. Step 3: Cross multiply
    15,825.64x = 21,843.92 × 10,452
  4. Step 4: Simplify right side
    15,825.64x = 228,312,651.84
  5. Step 5: Solve for x
    x = 228,312,651.84/15,825.64
  6. Step 6: Final answer
    x = 14,426.76

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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.