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Finding the Fourth Proportional to 11,854.51, 17,768.07 and 4,454.24

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Solution

The fourth proportional to 11,854.51, 17,768.07 and 4,454.24 is: 6,676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.51 : 17,768.07 = 4,454.24 : x
  2. Step 2: Convert to fraction form
    11,854.51/17,768.07 = 4,454.24/x
  3. Step 3: Cross multiply
    11,854.51x = 17,768.07 × 4,454.24
  4. Step 4: Simplify right side
    11,854.51x = 79,143,248.12
  5. Step 5: Solve for x
    x = 79,143,248.12/11,854.51
  6. Step 6: Final answer
    x = 6,676.21

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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.