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Finding the Fourth Proportional to 16,076.84, 22,182.18 and 9,002.12

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Solution

The fourth proportional to 16,076.84, 22,182.18 and 9,002.12 is: 12,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.84 : 22,182.18 = 9,002.12 : x
  2. Step 2: Convert to fraction form
    16,076.84/22,182.18 = 9,002.12/x
  3. Step 3: Cross multiply
    16,076.84x = 22,182.18 × 9,002.12
  4. Step 4: Simplify right side
    16,076.84x = 199,686,646.22
  5. Step 5: Solve for x
    x = 199,686,646.22/16,076.84
  6. Step 6: Final answer
    x = 12,420.76

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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.