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Finding the Fourth Proportional to 15,814.63, 21,823.53 and 8,644.42

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Solution

The fourth proportional to 15,814.63, 21,823.53 and 8,644.42 is: 11,928.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.63 : 21,823.53 = 8,644.42 : x
  2. Step 2: Convert to fraction form
    15,814.63/21,823.53 = 8,644.42/x
  3. Step 3: Cross multiply
    15,814.63x = 21,823.53 × 8,644.42
  4. Step 4: Simplify right side
    15,814.63x = 188,651,754.07
  5. Step 5: Solve for x
    x = 188,651,754.07/15,814.63
  6. Step 6: Final answer
    x = 11,928.94

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1.5x scale

Why These Related Problems?

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