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Finding the Fourth Proportional to 27,833.68, 38,410.55 and 16,508.66

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Solution

The fourth proportional to 27,833.68, 38,410.55 and 16,508.66 is: 22,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.68 : 38,410.55 = 16,508.66 : x
  2. Step 2: Convert to fraction form
    27,833.68/38,410.55 = 16,508.66/x
  3. Step 3: Cross multiply
    27,833.68x = 38,410.55 × 16,508.66
  4. Step 4: Simplify right side
    27,833.68x = 634,106,806.59
  5. Step 5: Solve for x
    x = 634,106,806.59/27,833.68
  6. Step 6: Final answer
    x = 22,782.00

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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.