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Finding the Fourth Proportional to 27,580.77, 38,055.45 and 16,242.39

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Solution

The fourth proportional to 27,580.77, 38,055.45 and 16,242.39 is: 22,410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.77 : 38,055.45 = 16,242.39 : x
  2. Step 2: Convert to fraction form
    27,580.77/38,055.45 = 16,242.39/x
  3. Step 3: Cross multiply
    27,580.77x = 38,055.45 × 16,242.39
  4. Step 4: Simplify right side
    27,580.77x = 618,111,460.53
  5. Step 5: Solve for x
    x = 618,111,460.53/27,580.77
  6. Step 6: Final answer
    x = 22,410.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.