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Finding the Fourth Proportional to 25,056.54, 37,587.88 and 8,189.14

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Solution

The fourth proportional to 25,056.54, 37,587.88 and 8,189.14 is: 12,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,056.54 : 37,587.88 = 8,189.14 : x
  2. Step 2: Convert to fraction form
    25,056.54/37,587.88 = 8,189.14/x
  3. Step 3: Cross multiply
    25,056.54x = 37,587.88 × 8,189.14
  4. Step 4: Simplify right side
    25,056.54x = 307,812,411.62
  5. Step 5: Solve for x
    x = 307,812,411.62/25,056.54
  6. Step 6: Final answer
    x = 12,284.71

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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.