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Finding the Fourth Proportional to 15,536.76, 23,284.28 and 7,627.20

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Solution

The fourth proportional to 15,536.76, 23,284.28 and 7,627.20 is: 11,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.76 : 23,284.28 = 7,627.20 : x
  2. Step 2: Convert to fraction form
    15,536.76/23,284.28 = 7,627.20/x
  3. Step 3: Cross multiply
    15,536.76x = 23,284.28 × 7,627.20
  4. Step 4: Simplify right side
    15,536.76x = 177,593,860.42
  5. Step 5: Solve for x
    x = 177,593,860.42/15,536.76
  6. Step 6: Final answer
    x = 11,430.56

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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.