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Finding the Fourth Proportional to 27,897.68, 38,499.72 and 15,323.60

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Solution

The fourth proportional to 27,897.68, 38,499.72 and 15,323.60 is: 21,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897.68 : 38,499.72 = 15,323.60 : x
  2. Step 2: Convert to fraction form
    27,897.68/38,499.72 = 15,323.60/x
  3. Step 3: Cross multiply
    27,897.68x = 38,499.72 × 15,323.60
  4. Step 4: Simplify right side
    27,897.68x = 589,954,309.39
  5. Step 5: Solve for x
    x = 589,954,309.39/27,897.68
  6. Step 6: Final answer
    x = 21,147.07

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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.