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Finding the Fourth Proportional to 27,986, 38,620.72 and 15,411.60

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Solution

The fourth proportional to 27,986, 38,620.72 and 15,411.60 is: 21,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986 : 38,620.72 = 15,411.60 : x
  2. Step 2: Convert to fraction form
    27,986/38,620.72 = 15,411.60/x
  3. Step 3: Cross multiply
    27,986x = 38,620.72 × 15,411.60
  4. Step 4: Simplify right side
    27,986x = 595,207,088.35
  5. Step 5: Solve for x
    x = 595,207,088.35/27,986
  6. Step 6: Final answer
    x = 21,268.03

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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.