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Finding the Fourth Proportional to 15,617, 23,428.74 and 6,383

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Solution

The fourth proportional to 15,617, 23,428.74 and 6,383 is: 9,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,617 : 23,428.74 = 6,383 : x
  2. Step 2: Convert to fraction form
    15,617/23,428.74 = 6,383/x
  3. Step 3: Cross multiply
    15,617x = 23,428.74 × 6,383
  4. Step 4: Simplify right side
    15,617x = 149,545,647.42
  5. Step 5: Solve for x
    x = 149,545,647.42/15,617
  6. Step 6: Final answer
    x = 9,575.82

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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.