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Finding the Fourth Proportional to 15,687.82, 23,536.30 and 6,323

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Solution

The fourth proportional to 15,687.82, 23,536.30 and 6,323 is: 9,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.82 : 23,536.30 = 6,323 : x
  2. Step 2: Convert to fraction form
    15,687.82/23,536.30 = 6,323/x
  3. Step 3: Cross multiply
    15,687.82x = 23,536.30 × 6,323
  4. Step 4: Simplify right side
    15,687.82x = 148,820,024.90
  5. Step 5: Solve for x
    x = 148,820,024.90/15,687.82
  6. Step 6: Final answer
    x = 9,486.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.