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Finding the Fourth Proportional to 27,120.16, 37,423.44 and 15,940

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Solution

The fourth proportional to 27,120.16, 37,423.44 and 15,940 is: 21,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,120.16 : 37,423.44 = 15,940 : x
  2. Step 2: Convert to fraction form
    27,120.16/37,423.44 = 15,940/x
  3. Step 3: Cross multiply
    27,120.16x = 37,423.44 × 15,940
  4. Step 4: Simplify right side
    27,120.16x = 596,529,633.60
  5. Step 5: Solve for x
    x = 596,529,633.60/27,120.16
  6. Step 6: Final answer
    x = 21,995.80

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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.