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Finding the Fourth Proportional to 21,303.24, 31,954.32 and 8,820

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Solution

The fourth proportional to 21,303.24, 31,954.32 and 8,820 is: 13,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,303.24 : 31,954.32 = 8,820 : x
  2. Step 2: Convert to fraction form
    21,303.24/31,954.32 = 8,820/x
  3. Step 3: Cross multiply
    21,303.24x = 31,954.32 × 8,820
  4. Step 4: Simplify right side
    21,303.24x = 281,837,102.40
  5. Step 5: Solve for x
    x = 281,837,102.40/21,303.24
  6. Step 6: Final answer
    x = 13,229.78

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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.