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Finding the Fourth Proportional to 21,597.68, 29,806.10 and 13,215.80

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Solution

The fourth proportional to 21,597.68, 29,806.10 and 13,215.80 is: 18,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597.68 : 29,806.10 = 13,215.80 : x
  2. Step 2: Convert to fraction form
    21,597.68/29,806.10 = 13,215.80/x
  3. Step 3: Cross multiply
    21,597.68x = 29,806.10 × 13,215.80
  4. Step 4: Simplify right side
    21,597.68x = 393,911,456.38
  5. Step 5: Solve for x
    x = 393,911,456.38/21,597.68
  6. Step 6: Final answer
    x = 18,238.60

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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.