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Finding the Fourth Proportional to 27,833.60, 41,764.12 and 13,039.96

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Solution

The fourth proportional to 27,833.60, 41,764.12 and 13,039.96 is: 19,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.60 : 41,764.12 = 13,039.96 : x
  2. Step 2: Convert to fraction form
    27,833.60/41,764.12 = 13,039.96/x
  3. Step 3: Cross multiply
    27,833.60x = 41,764.12 × 13,039.96
  4. Step 4: Simplify right side
    27,833.60x = 544,602,454.24
  5. Step 5: Solve for x
    x = 544,602,454.24/27,833.60
  6. Step 6: Final answer
    x = 19,566.37

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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.