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Finding the Fourth Proportional to 27,833.86, 38,406.56 and 15,894.66

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Solution

The fourth proportional to 27,833.86, 38,406.56 and 15,894.66 is: 21,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.86 : 38,406.56 = 15,894.66 : x
  2. Step 2: Convert to fraction form
    27,833.86/38,406.56 = 15,894.66/x
  3. Step 3: Cross multiply
    27,833.86x = 38,406.56 × 15,894.66
  4. Step 4: Simplify right side
    27,833.86x = 610,459,277.52
  5. Step 5: Solve for x
    x = 610,459,277.52/27,833.86
  6. Step 6: Final answer
    x = 21,932.25

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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.