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Finding the Fourth Proportional to 21,076.30, 31,630.04 and 9,983.01

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Solution

The fourth proportional to 21,076.30, 31,630.04 and 9,983.01 is: 14,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.30 : 31,630.04 = 9,983.01 : x
  2. Step 2: Convert to fraction form
    21,076.30/31,630.04 = 9,983.01/x
  3. Step 3: Cross multiply
    21,076.30x = 31,630.04 × 9,983.01
  4. Step 4: Simplify right side
    21,076.30x = 315,763,111.75
  5. Step 5: Solve for x
    x = 315,763,111.75/21,076.30
  6. Step 6: Final answer
    x = 14,981.90

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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.