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Finding the Fourth Proportional to 16,678.96, 23,016.10 and 9,123.82

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Solution

The fourth proportional to 16,678.96, 23,016.10 and 9,123.82 is: 12,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.96 : 23,016.10 = 9,123.82 : x
  2. Step 2: Convert to fraction form
    16,678.96/23,016.10 = 9,123.82/x
  3. Step 3: Cross multiply
    16,678.96x = 23,016.10 × 9,123.82
  4. Step 4: Simplify right side
    16,678.96x = 209,994,753.50
  5. Step 5: Solve for x
    x = 209,994,753.50/16,678.96
  6. Step 6: Final answer
    x = 12,590.40

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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.