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Finding the Fourth Proportional to 27,107.22, 40,656.69 and 9,574.50

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Solution

The fourth proportional to 27,107.22, 40,656.69 and 9,574.50 is: 14,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.22 : 40,656.69 = 9,574.50 : x
  2. Step 2: Convert to fraction form
    27,107.22/40,656.69 = 9,574.50/x
  3. Step 3: Cross multiply
    27,107.22x = 40,656.69 × 9,574.50
  4. Step 4: Simplify right side
    27,107.22x = 389,267,478.41
  5. Step 5: Solve for x
    x = 389,267,478.41/27,107.22
  6. Step 6: Final answer
    x = 14,360.29

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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.