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Finding the Fourth Proportional to 11,814.84, 17,720.19 and 4,417.77

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Solution

The fourth proportional to 11,814.84, 17,720.19 and 4,417.77 is: 6,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.84 : 17,720.19 = 4,417.77 : x
  2. Step 2: Convert to fraction form
    11,814.84/17,720.19 = 4,417.77/x
  3. Step 3: Cross multiply
    11,814.84x = 17,720.19 × 4,417.77
  4. Step 4: Simplify right side
    11,814.84x = 78,283,653.14
  5. Step 5: Solve for x
    x = 78,283,653.14/11,814.84
  6. Step 6: Final answer
    x = 6,625.88

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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.