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Finding the Fourth Proportional to 11,676.14, 17,411.37 and 11,570.84

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Solution

The fourth proportional to 11,676.14, 17,411.37 and 11,570.84 is: 17,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.14 : 17,411.37 = 11,570.84 : x
  2. Step 2: Convert to fraction form
    11,676.14/17,411.37 = 11,570.84/x
  3. Step 3: Cross multiply
    11,676.14x = 17,411.37 × 11,570.84
  4. Step 4: Simplify right side
    11,676.14x = 201,464,176.45
  5. Step 5: Solve for x
    x = 201,464,176.45/11,676.14
  6. Step 6: Final answer
    x = 17,254.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.