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Finding the Fourth Proportional to 27,705.86, 38,208.12 and 22,059.24

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Solution

The fourth proportional to 27,705.86, 38,208.12 and 22,059.24 is: 30,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.86 : 38,208.12 = 22,059.24 : x
  2. Step 2: Convert to fraction form
    27,705.86/38,208.12 = 22,059.24/x
  3. Step 3: Cross multiply
    27,705.86x = 38,208.12 × 22,059.24
  4. Step 4: Simplify right side
    27,705.86x = 842,842,089.03
  5. Step 5: Solve for x
    x = 842,842,089.03/27,705.86
  6. Step 6: Final answer
    x = 30,421.08

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