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Finding the Fourth Proportional to 27,077, 40,598.22 and 13,009.04

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Solution

The fourth proportional to 27,077, 40,598.22 and 13,009.04 is: 19,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,077 : 40,598.22 = 13,009.04 : x
  2. Step 2: Convert to fraction form
    27,077/40,598.22 = 13,009.04/x
  3. Step 3: Cross multiply
    27,077x = 40,598.22 × 13,009.04
  4. Step 4: Simplify right side
    27,077x = 528,143,867.91
  5. Step 5: Solve for x
    x = 528,143,867.91/27,077
  6. Step 6: Final answer
    x = 19,505.26

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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.