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Finding the Fourth Proportional to 15,922, 23,891.76 and 7,714

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Solution

The fourth proportional to 15,922, 23,891.76 and 7,714 is: 11,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922 : 23,891.76 = 7,714 : x
  2. Step 2: Convert to fraction form
    15,922/23,891.76 = 7,714/x
  3. Step 3: Cross multiply
    15,922x = 23,891.76 × 7,714
  4. Step 4: Simplify right side
    15,922x = 184,301,036.64
  5. Step 5: Solve for x
    x = 184,301,036.64/15,922
  6. Step 6: Final answer
    x = 11,575.24

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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.