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Finding the Fourth Proportional to 11,146.93, 16,694.01 and 9,678.10

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Solution

The fourth proportional to 11,146.93, 16,694.01 and 9,678.10 is: 14,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.93 : 16,694.01 = 9,678.10 : x
  2. Step 2: Convert to fraction form
    11,146.93/16,694.01 = 9,678.10/x
  3. Step 3: Cross multiply
    11,146.93x = 16,694.01 × 9,678.10
  4. Step 4: Simplify right side
    11,146.93x = 161,566,298.18
  5. Step 5: Solve for x
    x = 161,566,298.18/11,146.93
  6. Step 6: Final answer
    x = 14,494.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.