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Finding the Fourth Proportional to 27,012.64, 40,521.92 and 10,386.80

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Solution

The fourth proportional to 27,012.64, 40,521.92 and 10,386.80 is: 15,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,012.64 : 40,521.92 = 10,386.80 : x
  2. Step 2: Convert to fraction form
    27,012.64/40,521.92 = 10,386.80/x
  3. Step 3: Cross multiply
    27,012.64x = 40,521.92 × 10,386.80
  4. Step 4: Simplify right side
    27,012.64x = 420,893,078.66
  5. Step 5: Solve for x
    x = 420,893,078.66/27,012.64
  6. Step 6: Final answer
    x = 15,581.34

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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.