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Finding the Fourth Proportional to 20,307.44, 30,453.10 and 7,820.55

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Solution

The fourth proportional to 20,307.44, 30,453.10 and 7,820.55 is: 11,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307.44 : 30,453.10 = 7,820.55 : x
  2. Step 2: Convert to fraction form
    20,307.44/30,453.10 = 7,820.55/x
  3. Step 3: Cross multiply
    20,307.44x = 30,453.10 × 7,820.55
  4. Step 4: Simplify right side
    20,307.44x = 238,159,971.65
  5. Step 5: Solve for x
    x = 238,159,971.65/20,307.44
  6. Step 6: Final answer
    x = 11,727.72

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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.