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Finding the Fourth Proportional to 23,141, 34,711.60 and 5,610.86

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Solution

The fourth proportional to 23,141, 34,711.60 and 5,610.86 is: 8,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141 : 34,711.60 = 5,610.86 : x
  2. Step 2: Convert to fraction form
    23,141/34,711.60 = 5,610.86/x
  3. Step 3: Cross multiply
    23,141x = 34,711.60 × 5,610.86
  4. Step 4: Simplify right side
    23,141x = 194,761,927.98
  5. Step 5: Solve for x
    x = 194,761,927.98/23,141
  6. Step 6: Final answer
    x = 8,416.31

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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.