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Finding the Fourth Proportional to 18,582.60, 27,882.86 and 9,220.88

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Solution

The fourth proportional to 18,582.60, 27,882.86 and 9,220.88 is: 13,835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582.60 : 27,882.86 = 9,220.88 : x
  2. Step 2: Convert to fraction form
    18,582.60/27,882.86 = 9,220.88/x
  3. Step 3: Cross multiply
    18,582.60x = 27,882.86 × 9,220.88
  4. Step 4: Simplify right side
    18,582.60x = 257,104,506.12
  5. Step 5: Solve for x
    x = 257,104,506.12/18,582.60
  6. Step 6: Final answer
    x = 13,835.77

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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.