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Finding the Fourth Proportional to 21,347.68, 31,867.43 and 20,389.12

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Solution

The fourth proportional to 21,347.68, 31,867.43 and 20,389.12 is: 30,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347.68 : 31,867.43 = 20,389.12 : x
  2. Step 2: Convert to fraction form
    21,347.68/31,867.43 = 20,389.12/x
  3. Step 3: Cross multiply
    21,347.68x = 31,867.43 × 20,389.12
  4. Step 4: Simplify right side
    21,347.68x = 649,748,854.36
  5. Step 5: Solve for x
    x = 649,748,854.36/21,347.68
  6. Step 6: Final answer
    x = 30,436.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.