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Finding the Fourth Proportional to 17,774.84, 26,678.42 and 9,461.81

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Solution

The fourth proportional to 17,774.84, 26,678.42 and 9,461.81 is: 14,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.84 : 26,678.42 = 9,461.81 : x
  2. Step 2: Convert to fraction form
    17,774.84/26,678.42 = 9,461.81/x
  3. Step 3: Cross multiply
    17,774.84x = 26,678.42 × 9,461.81
  4. Step 4: Simplify right side
    17,774.84x = 252,426,141.14
  5. Step 5: Solve for x
    x = 252,426,141.14/17,774.84
  6. Step 6: Final answer
    x = 14,201.32

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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.