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Finding the Fourth Proportional to 23,532, 35,290.52 and 7,733.39

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Solution

The fourth proportional to 23,532, 35,290.52 and 7,733.39 is: 11,597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532 : 35,290.52 = 7,733.39 : x
  2. Step 2: Convert to fraction form
    23,532/35,290.52 = 7,733.39/x
  3. Step 3: Cross multiply
    23,532x = 35,290.52 × 7,733.39
  4. Step 4: Simplify right side
    23,532x = 272,915,139.34
  5. Step 5: Solve for x
    x = 272,915,139.34/23,532
  6. Step 6: Final answer
    x = 11,597.62

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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.