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Finding the Fourth Proportional to 23,116, 34,668.20 and 6,471.72

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Solution

The fourth proportional to 23,116, 34,668.20 and 6,471.72 is: 9,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116 : 34,668.20 = 6,471.72 : x
  2. Step 2: Convert to fraction form
    23,116/34,668.20 = 6,471.72/x
  3. Step 3: Cross multiply
    23,116x = 34,668.20 × 6,471.72
  4. Step 4: Simplify right side
    23,116x = 224,362,883.30
  5. Step 5: Solve for x
    x = 224,362,883.30/23,116
  6. Step 6: Final answer
    x = 9,705.96

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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.