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Finding the Fourth Proportional to 16,287.56, 24,417.66 and 11,342.60

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Solution

The fourth proportional to 16,287.56, 24,417.66 and 11,342.60 is: 17,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.56 : 24,417.66 = 11,342.60 : x
  2. Step 2: Convert to fraction form
    16,287.56/24,417.66 = 11,342.60/x
  3. Step 3: Cross multiply
    16,287.56x = 24,417.66 × 11,342.60
  4. Step 4: Simplify right side
    16,287.56x = 276,959,750.32
  5. Step 5: Solve for x
    x = 276,959,750.32/16,287.56
  6. Step 6: Final answer
    x = 17,004.37

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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.