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Finding the Fourth Proportional to 25,305.83, 37,964.09 and 9,511

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Solution

The fourth proportional to 25,305.83, 37,964.09 and 9,511 is: 14,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,305.83 : 37,964.09 = 9,511 : x
  2. Step 2: Convert to fraction form
    25,305.83/37,964.09 = 9,511/x
  3. Step 3: Cross multiply
    25,305.83x = 37,964.09 × 9,511
  4. Step 4: Simplify right side
    25,305.83x = 361,076,459.99
  5. Step 5: Solve for x
    x = 361,076,459.99/25,305.83
  6. Step 6: Final answer
    x = 14,268.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.