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Finding the Fourth Proportional to 23,135.46, 34,702.56 and 6,495.63

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Solution

The fourth proportional to 23,135.46, 34,702.56 and 6,495.63 is: 9,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,135.46 : 34,702.56 = 6,495.63 : x
  2. Step 2: Convert to fraction form
    23,135.46/34,702.56 = 6,495.63/x
  3. Step 3: Cross multiply
    23,135.46x = 34,702.56 × 6,495.63
  4. Step 4: Simplify right side
    23,135.46x = 225,414,989.81
  5. Step 5: Solve for x
    x = 225,414,989.81/23,135.46
  6. Step 6: Final answer
    x = 9,743.27

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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.