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Finding the Fourth Proportional to 27,804.63, 41,713.43 and 9,085.53

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Solution

The fourth proportional to 27,804.63, 41,713.43 and 9,085.53 is: 13,630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.63 : 41,713.43 = 9,085.53 : x
  2. Step 2: Convert to fraction form
    27,804.63/41,713.43 = 9,085.53/x
  3. Step 3: Cross multiply
    27,804.63x = 41,713.43 × 9,085.53
  4. Step 4: Simplify right side
    27,804.63x = 378,988,574.24
  5. Step 5: Solve for x
    x = 378,988,574.24/27,804.63
  6. Step 6: Final answer
    x = 13,630.41

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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.