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Finding the Fourth Proportional to 27,328.32, 40,966.56 and 11,736

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Solution

The fourth proportional to 27,328.32, 40,966.56 and 11,736 is: 17,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,328.32 : 40,966.56 = 11,736 : x
  2. Step 2: Convert to fraction form
    27,328.32/40,966.56 = 11,736/x
  3. Step 3: Cross multiply
    27,328.32x = 40,966.56 × 11,736
  4. Step 4: Simplify right side
    27,328.32x = 480,783,548.16
  5. Step 5: Solve for x
    x = 480,783,548.16/27,328.32
  6. Step 6: Final answer
    x = 17,592.87

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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.