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Finding the Fourth Proportional to 16,076.76, 24,224.69 and 13,219.08

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Solution

The fourth proportional to 16,076.76, 24,224.69 and 13,219.08 is: 19,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.76 : 24,224.69 = 13,219.08 : x
  2. Step 2: Convert to fraction form
    16,076.76/24,224.69 = 13,219.08/x
  3. Step 3: Cross multiply
    16,076.76x = 24,224.69 × 13,219.08
  4. Step 4: Simplify right side
    16,076.76x = 320,228,048.99
  5. Step 5: Solve for x
    x = 320,228,048.99/16,076.76
  6. Step 6: Final answer
    x = 19,918.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.