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Finding the Fourth Proportional to 21,422.76, 29,559.20 and 13,460.39

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Solution

The fourth proportional to 21,422.76, 29,559.20 and 13,460.39 is: 18,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.76 : 29,559.20 = 13,460.39 : x
  2. Step 2: Convert to fraction form
    21,422.76/29,559.20 = 13,460.39/x
  3. Step 3: Cross multiply
    21,422.76x = 29,559.20 × 13,460.39
  4. Step 4: Simplify right side
    21,422.76x = 397,878,144.99
  5. Step 5: Solve for x
    x = 397,878,144.99/21,422.76
  6. Step 6: Final answer
    x = 18,572.68

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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.