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Finding the Fourth Proportional to 25,827.68, 38,733.24 and 8,293.28

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Solution

The fourth proportional to 25,827.68, 38,733.24 and 8,293.28 is: 12,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827.68 : 38,733.24 = 8,293.28 : x
  2. Step 2: Convert to fraction form
    25,827.68/38,733.24 = 8,293.28/x
  3. Step 3: Cross multiply
    25,827.68x = 38,733.24 × 8,293.28
  4. Step 4: Simplify right side
    25,827.68x = 321,225,604.63
  5. Step 5: Solve for x
    x = 321,225,604.63/25,827.68
  6. Step 6: Final answer
    x = 12,437.26

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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.