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Finding the Fourth Proportional to 16,076.88, 22,185.36 and 9,002.88

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Solution

The fourth proportional to 16,076.88, 22,185.36 and 9,002.88 is: 12,423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.88 : 22,185.36 = 9,002.88 : x
  2. Step 2: Convert to fraction form
    16,076.88/22,185.36 = 9,002.88/x
  3. Step 3: Cross multiply
    16,076.88x = 22,185.36 × 9,002.88
  4. Step 4: Simplify right side
    16,076.88x = 199,732,133.84
  5. Step 5: Solve for x
    x = 199,732,133.84/16,076.88
  6. Step 6: Final answer
    x = 12,423.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.