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Finding the Fourth Proportional to 27,643.64, 41,461.24 and 10,109.40

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Solution

The fourth proportional to 27,643.64, 41,461.24 and 10,109.40 is: 15,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.64 : 41,461.24 = 10,109.40 : x
  2. Step 2: Convert to fraction form
    27,643.64/41,461.24 = 10,109.40/x
  3. Step 3: Cross multiply
    27,643.64x = 41,461.24 × 10,109.40
  4. Step 4: Simplify right side
    27,643.64x = 419,148,259.66
  5. Step 5: Solve for x
    x = 419,148,259.66/27,643.64
  6. Step 6: Final answer
    x = 15,162.56

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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.