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Finding the Fourth Proportional to 15,777, 23,663.92 and 6,417.57

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Solution

The fourth proportional to 15,777, 23,663.92 and 6,417.57 is: 9,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777 : 23,663.92 = 6,417.57 : x
  2. Step 2: Convert to fraction form
    15,777/23,663.92 = 6,417.57/x
  3. Step 3: Cross multiply
    15,777x = 23,663.92 × 6,417.57
  4. Step 4: Simplify right side
    15,777x = 151,864,863.07
  5. Step 5: Solve for x
    x = 151,864,863.07/15,777
  6. Step 6: Final answer
    x = 9,625.71

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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.