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Finding the Fourth Proportional to 18,582, 27,882.58 and 12,346.32

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Solution

The fourth proportional to 18,582, 27,882.58 and 12,346.32 is: 18,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582 : 27,882.58 = 12,346.32 : x
  2. Step 2: Convert to fraction form
    18,582/27,882.58 = 12,346.32/x
  3. Step 3: Cross multiply
    18,582x = 27,882.58 × 12,346.32
  4. Step 4: Simplify right side
    18,582x = 344,247,255.11
  5. Step 5: Solve for x
    x = 344,247,255.11/18,582
  6. Step 6: Final answer
    x = 18,525.85

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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.