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Finding the Fourth Proportional to 21,002.31, 31,503.15 and 8,522.28

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Solution

The fourth proportional to 21,002.31, 31,503.15 and 8,522.28 is: 12,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.31 : 31,503.15 = 8,522.28 : x
  2. Step 2: Convert to fraction form
    21,002.31/31,503.15 = 8,522.28/x
  3. Step 3: Cross multiply
    21,002.31x = 31,503.15 × 8,522.28
  4. Step 4: Simplify right side
    21,002.31x = 268,478,665.18
  5. Step 5: Solve for x
    x = 268,478,665.18/21,002.31
  6. Step 6: Final answer
    x = 12,783.29

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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.