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Finding the Fourth Proportional to 23,119, 34,672.70 and 6,474.72

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Solution

The fourth proportional to 23,119, 34,672.70 and 6,474.72 is: 9,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,119 : 34,672.70 = 6,474.72 : x
  2. Step 2: Convert to fraction form
    23,119/34,672.70 = 6,474.72/x
  3. Step 3: Cross multiply
    23,119x = 34,672.70 × 6,474.72
  4. Step 4: Simplify right side
    23,119x = 224,496,024.14
  5. Step 5: Solve for x
    x = 224,496,024.14/23,119
  6. Step 6: Final answer
    x = 9,710.46

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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.