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Finding the Fourth Proportional to 21,406.52, 29,539.64 and 11,714.01

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Solution

The fourth proportional to 21,406.52, 29,539.64 and 11,714.01 is: 16,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.52 : 29,539.64 = 11,714.01 : x
  2. Step 2: Convert to fraction form
    21,406.52/29,539.64 = 11,714.01/x
  3. Step 3: Cross multiply
    21,406.52x = 29,539.64 × 11,714.01
  4. Step 4: Simplify right side
    21,406.52x = 346,027,579.79
  5. Step 5: Solve for x
    x = 346,027,579.79/21,406.52
  6. Step 6: Final answer
    x = 16,164.59

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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.