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Finding the Fourth Proportional to 25,910.69, 38,864.86 and 8,140.91

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Solution

The fourth proportional to 25,910.69, 38,864.86 and 8,140.91 is: 12,210.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,910.69 : 38,864.86 = 8,140.91 : x
  2. Step 2: Convert to fraction form
    25,910.69/38,864.86 = 8,140.91/x
  3. Step 3: Cross multiply
    25,910.69x = 38,864.86 × 8,140.91
  4. Step 4: Simplify right side
    25,910.69x = 316,395,158.54
  5. Step 5: Solve for x
    x = 316,395,158.54/25,910.69
  6. Step 6: Final answer
    x = 12,210.99

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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.