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Finding the Fourth Proportional to 27,403.32, 41,104.02 and 11,604

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Solution

The fourth proportional to 27,403.32, 41,104.02 and 11,604 is: 17,405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,403.32 : 41,104.02 = 11,604 : x
  2. Step 2: Convert to fraction form
    27,403.32/41,104.02 = 11,604/x
  3. Step 3: Cross multiply
    27,403.32x = 41,104.02 × 11,604
  4. Step 4: Simplify right side
    27,403.32x = 476,971,048.08
  5. Step 5: Solve for x
    x = 476,971,048.08/27,403.32
  6. Step 6: Final answer
    x = 17,405.59

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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.