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Finding the Fourth Proportional to 20,532.64, 30,722.06 and 14,623.18

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Solution

The fourth proportional to 20,532.64, 30,722.06 and 14,623.18 is: 21,880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.64 : 30,722.06 = 14,623.18 : x
  2. Step 2: Convert to fraction form
    20,532.64/30,722.06 = 14,623.18/x
  3. Step 3: Cross multiply
    20,532.64x = 30,722.06 × 14,623.18
  4. Step 4: Simplify right side
    20,532.64x = 449,254,140.23
  5. Step 5: Solve for x
    x = 449,254,140.23/20,532.64
  6. Step 6: Final answer
    x = 21,880.00

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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.