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Finding the Fourth Proportional to 23,558, 35,340.26 and 6,915.70

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Solution

The fourth proportional to 23,558, 35,340.26 and 6,915.70 is: 10,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,558 : 35,340.26 = 6,915.70 : x
  2. Step 2: Convert to fraction form
    23,558/35,340.26 = 6,915.70/x
  3. Step 3: Cross multiply
    23,558x = 35,340.26 × 6,915.70
  4. Step 4: Simplify right side
    23,558x = 244,402,636.08
  5. Step 5: Solve for x
    x = 244,402,636.08/23,558
  6. Step 6: Final answer
    x = 10,374.51

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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.