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Finding the Fourth Proportional to 21,754.32, 30,016.64 and 12,802.24

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Solution

The fourth proportional to 21,754.32, 30,016.64 and 12,802.24 is: 17,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,754.32 : 30,016.64 = 12,802.24 : x
  2. Step 2: Convert to fraction form
    21,754.32/30,016.64 = 12,802.24/x
  3. Step 3: Cross multiply
    21,754.32x = 30,016.64 × 12,802.24
  4. Step 4: Simplify right side
    21,754.32x = 384,280,229.27
  5. Step 5: Solve for x
    x = 384,280,229.27/21,754.32
  6. Step 6: Final answer
    x = 17,664.55

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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.