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Finding the Fourth Proportional to 27,969.68, 38,597.64 and 16,032.72

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Solution

The fourth proportional to 27,969.68, 38,597.64 and 16,032.72 is: 22,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.68 : 38,597.64 = 16,032.72 : x
  2. Step 2: Convert to fraction form
    27,969.68/38,597.64 = 16,032.72/x
  3. Step 3: Cross multiply
    27,969.68x = 38,597.64 × 16,032.72
  4. Step 4: Simplify right side
    27,969.68x = 618,825,154.78
  5. Step 5: Solve for x
    x = 618,825,154.78/27,969.68
  6. Step 6: Final answer
    x = 22,124.86

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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.