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Finding the Fourth Proportional to 27,425.04, 41,129.04 and 9,892.59

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Solution

The fourth proportional to 27,425.04, 41,129.04 and 9,892.59 is: 14,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,425.04 : 41,129.04 = 9,892.59 : x
  2. Step 2: Convert to fraction form
    27,425.04/41,129.04 = 9,892.59/x
  3. Step 3: Cross multiply
    27,425.04x = 41,129.04 × 9,892.59
  4. Step 4: Simplify right side
    27,425.04x = 406,872,729.81
  5. Step 5: Solve for x
    x = 406,872,729.81/27,425.04
  6. Step 6: Final answer
    x = 14,835.81

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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.