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Finding the Fourth Proportional to 28,882.74, 43,313.16 and 11,343

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Solution

The fourth proportional to 28,882.74, 43,313.16 and 11,343 is: 17,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,882.74 : 43,313.16 = 11,343 : x
  2. Step 2: Convert to fraction form
    28,882.74/43,313.16 = 11,343/x
  3. Step 3: Cross multiply
    28,882.74x = 43,313.16 × 11,343
  4. Step 4: Simplify right side
    28,882.74x = 491,301,173.88
  5. Step 5: Solve for x
    x = 491,301,173.88/28,882.74
  6. Step 6: Final answer
    x = 17,010.20

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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.