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Finding the Fourth Proportional to 21,154.02, 31,728.54 and 8,503.26

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Solution

The fourth proportional to 21,154.02, 31,728.54 and 8,503.26 is: 12,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.02 : 31,728.54 = 8,503.26 : x
  2. Step 2: Convert to fraction form
    21,154.02/31,728.54 = 8,503.26/x
  3. Step 3: Cross multiply
    21,154.02x = 31,728.54 × 8,503.26
  4. Step 4: Simplify right side
    21,154.02x = 269,796,025.04
  5. Step 5: Solve for x
    x = 269,796,025.04/21,154.02
  6. Step 6: Final answer
    x = 12,753.89

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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.