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Finding the Fourth Proportional to 25,653.92, 38,486.80 and 8,123.74

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Solution

The fourth proportional to 25,653.92, 38,486.80 and 8,123.74 is: 12,187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,653.92 : 38,486.80 = 8,123.74 : x
  2. Step 2: Convert to fraction form
    25,653.92/38,486.80 = 8,123.74/x
  3. Step 3: Cross multiply
    25,653.92x = 38,486.80 × 8,123.74
  4. Step 4: Simplify right side
    25,653.92x = 312,656,756.63
  5. Step 5: Solve for x
    x = 312,656,756.63/25,653.92
  6. Step 6: Final answer
    x = 12,187.48

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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.