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Finding the Fourth Proportional to 27,140.46, 40,710.78 and 9,610.80

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Solution

The fourth proportional to 27,140.46, 40,710.78 and 9,610.80 is: 14,416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140.46 : 40,710.78 = 9,610.80 : x
  2. Step 2: Convert to fraction form
    27,140.46/40,710.78 = 9,610.80/x
  3. Step 3: Cross multiply
    27,140.46x = 40,710.78 × 9,610.80
  4. Step 4: Simplify right side
    27,140.46x = 391,263,164.42
  5. Step 5: Solve for x
    x = 391,263,164.42/27,140.46
  6. Step 6: Final answer
    x = 14,416.23

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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.