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Finding the Fourth Proportional to 18,564.30, 27,835.49 and 7,461.63

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Solution

The fourth proportional to 18,564.30, 27,835.49 and 7,461.63 is: 11,188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.30 : 27,835.49 = 7,461.63 : x
  2. Step 2: Convert to fraction form
    18,564.30/27,835.49 = 7,461.63/x
  3. Step 3: Cross multiply
    18,564.30x = 27,835.49 × 7,461.63
  4. Step 4: Simplify right side
    18,564.30x = 207,698,089.94
  5. Step 5: Solve for x
    x = 207,698,089.94/18,564.30
  6. Step 6: Final answer
    x = 11,188.04

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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.