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Finding the Fourth Proportional to 21,308.44, 29,405.64 and 11,877

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Solution

The fourth proportional to 21,308.44, 29,405.64 and 11,877 is: 16,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.44 : 29,405.64 = 11,877 : x
  2. Step 2: Convert to fraction form
    21,308.44/29,405.64 = 11,877/x
  3. Step 3: Cross multiply
    21,308.44x = 29,405.64 × 11,877
  4. Step 4: Simplify right side
    21,308.44x = 349,250,830.82
  5. Step 5: Solve for x
    x = 349,250,830.82/21,308.44
  6. Step 6: Final answer
    x = 16,390.26

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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.