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Finding the Fourth Proportional to 27,978.06, 38,605.74 and 16,041.90

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Solution

The fourth proportional to 27,978.06, 38,605.74 and 16,041.90 is: 22,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.06 : 38,605.74 = 16,041.90 : x
  2. Step 2: Convert to fraction form
    27,978.06/38,605.74 = 16,041.90/x
  3. Step 3: Cross multiply
    27,978.06x = 38,605.74 × 16,041.90
  4. Step 4: Simplify right side
    27,978.06x = 619,309,420.51
  5. Step 5: Solve for x
    x = 619,309,420.51/27,978.06
  6. Step 6: Final answer
    x = 22,135.54

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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.