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Finding the Fourth Proportional to 21,583.64, 29,786 and 12,152.56

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Solution

The fourth proportional to 21,583.64, 29,786 and 12,152.56 is: 16,770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,583.64 : 29,786 = 12,152.56 : x
  2. Step 2: Convert to fraction form
    21,583.64/29,786 = 12,152.56/x
  3. Step 3: Cross multiply
    21,583.64x = 29,786 × 12,152.56
  4. Step 4: Simplify right side
    21,583.64x = 361,976,152.16
  5. Step 5: Solve for x
    x = 361,976,152.16/21,583.64
  6. Step 6: Final answer
    x = 16,770.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.