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Finding the Fourth Proportional to 16,432.14, 22,676.19 and 9,264.36

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Solution

The fourth proportional to 16,432.14, 22,676.19 and 9,264.36 is: 12,784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432.14 : 22,676.19 = 9,264.36 : x
  2. Step 2: Convert to fraction form
    16,432.14/22,676.19 = 9,264.36/x
  3. Step 3: Cross multiply
    16,432.14x = 22,676.19 × 9,264.36
  4. Step 4: Simplify right side
    16,432.14x = 210,080,387.59
  5. Step 5: Solve for x
    x = 210,080,387.59/16,432.14
  6. Step 6: Final answer
    x = 12,784.72

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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.