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Finding the Fourth Proportional to 23,125.74, 34,682.31 and 6,484.74

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Solution

The fourth proportional to 23,125.74, 34,682.31 and 6,484.74 is: 9,725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,125.74 : 34,682.31 = 6,484.74 : x
  2. Step 2: Convert to fraction form
    23,125.74/34,682.31 = 6,484.74/x
  3. Step 3: Cross multiply
    23,125.74x = 34,682.31 × 6,484.74
  4. Step 4: Simplify right side
    23,125.74x = 224,905,762.95
  5. Step 5: Solve for x
    x = 224,905,762.95/23,125.74
  6. Step 6: Final answer
    x = 9,725.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.