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Finding the Fourth Proportional to 27,566.02, 41,341.74 and 11,980

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Solution

The fourth proportional to 27,566.02, 41,341.74 and 11,980 is: 17,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,566.02 : 41,341.74 = 11,980 : x
  2. Step 2: Convert to fraction form
    27,566.02/41,341.74 = 11,980/x
  3. Step 3: Cross multiply
    27,566.02x = 41,341.74 × 11,980
  4. Step 4: Simplify right side
    27,566.02x = 495,274,045.20
  5. Step 5: Solve for x
    x = 495,274,045.20/27,566.02
  6. Step 6: Final answer
    x = 17,966.83

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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.