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Finding the Fourth Proportional to 27,225.23, 40,842.17 and 9,461.32

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Solution

The fourth proportional to 27,225.23, 40,842.17 and 9,461.32 is: 14,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225.23 : 40,842.17 = 9,461.32 : x
  2. Step 2: Convert to fraction form
    27,225.23/40,842.17 = 9,461.32/x
  3. Step 3: Cross multiply
    27,225.23x = 40,842.17 × 9,461.32
  4. Step 4: Simplify right side
    27,225.23x = 386,420,839.86
  5. Step 5: Solve for x
    x = 386,420,839.86/27,225.23
  6. Step 6: Final answer
    x = 14,193.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.