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Finding the Fourth Proportional to 16,676.84, 23,013.86 and 9,123.32

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Solution

The fourth proportional to 16,676.84, 23,013.86 and 9,123.32 is: 12,590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,676.84 : 23,013.86 = 9,123.32 : x
  2. Step 2: Convert to fraction form
    16,676.84/23,013.86 = 9,123.32/x
  3. Step 3: Cross multiply
    16,676.84x = 23,013.86 × 9,123.32
  4. Step 4: Simplify right side
    16,676.84x = 209,962,809.22
  5. Step 5: Solve for x
    x = 209,962,809.22/16,676.84
  6. Step 6: Final answer
    x = 12,590.08

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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.