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Finding the Fourth Proportional to 25,818.34, 38,730.75 and 8,283.46

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Solution

The fourth proportional to 25,818.34, 38,730.75 and 8,283.46 is: 12,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,818.34 : 38,730.75 = 8,283.46 : x
  2. Step 2: Convert to fraction form
    25,818.34/38,730.75 = 8,283.46/x
  3. Step 3: Cross multiply
    25,818.34x = 38,730.75 × 8,283.46
  4. Step 4: Simplify right side
    25,818.34x = 320,824,618.40
  5. Step 5: Solve for x
    x = 320,824,618.40/25,818.34
  6. Step 6: Final answer
    x = 12,426.23

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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.