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Finding the Fourth Proportional to 21,759.86, 30,031.02 and 12,809.57

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Solution

The fourth proportional to 21,759.86, 30,031.02 and 12,809.57 is: 17,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,759.86 : 30,031.02 = 12,809.57 : x
  2. Step 2: Convert to fraction form
    21,759.86/30,031.02 = 12,809.57/x
  3. Step 3: Cross multiply
    21,759.86x = 30,031.02 × 12,809.57
  4. Step 4: Simplify right side
    21,759.86x = 384,684,452.86
  5. Step 5: Solve for x
    x = 384,684,452.86/21,759.86
  6. Step 6: Final answer
    x = 17,678.63

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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.