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Finding the Fourth Proportional to 15,774, 21,768.44 and 10,194.72

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Solution

The fourth proportional to 15,774, 21,768.44 and 10,194.72 is: 14,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774 : 21,768.44 = 10,194.72 : x
  2. Step 2: Convert to fraction form
    15,774/21,768.44 = 10,194.72/x
  3. Step 3: Cross multiply
    15,774x = 21,768.44 × 10,194.72
  4. Step 4: Simplify right side
    15,774x = 221,923,099.66
  5. Step 5: Solve for x
    x = 221,923,099.66/15,774
  6. Step 6: Final answer
    x = 14,068.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.