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Finding the Fourth Proportional to 16,077.54, 24,119.16 and 6,216

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Solution

The fourth proportional to 16,077.54, 24,119.16 and 6,216 is: 9,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.54 : 24,119.16 = 6,216 : x
  2. Step 2: Convert to fraction form
    16,077.54/24,119.16 = 6,216/x
  3. Step 3: Cross multiply
    16,077.54x = 24,119.16 × 6,216
  4. Step 4: Simplify right side
    16,077.54x = 149,924,698.56
  5. Step 5: Solve for x
    x = 149,924,698.56/16,077.54
  6. Step 6: Final answer
    x = 9,325.10

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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.