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Finding the Fourth Proportional to 21,715.82, 29,967.83 and 11,779.82

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Solution

The fourth proportional to 21,715.82, 29,967.83 and 11,779.82 is: 16,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,715.82 : 29,967.83 = 11,779.82 : x
  2. Step 2: Convert to fraction form
    21,715.82/29,967.83 = 11,779.82/x
  3. Step 3: Cross multiply
    21,715.82x = 29,967.83 × 11,779.82
  4. Step 4: Simplify right side
    21,715.82x = 353,015,434.45
  5. Step 5: Solve for x
    x = 353,015,434.45/21,715.82
  6. Step 6: Final answer
    x = 16,256.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.