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Finding the Fourth Proportional to 23,376.70, 35,070 and 7,582.60

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Solution

The fourth proportional to 23,376.70, 35,070 and 7,582.60 is: 11,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376.70 : 35,070 = 7,582.60 : x
  2. Step 2: Convert to fraction form
    23,376.70/35,070 = 7,582.60/x
  3. Step 3: Cross multiply
    23,376.70x = 35,070 × 7,582.60
  4. Step 4: Simplify right side
    23,376.70x = 265,921,782
  5. Step 5: Solve for x
    x = 265,921,782/23,376.70
  6. Step 6: Final answer
    x = 11,375.51

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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.