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Finding the Fourth Proportional to 22,986, 31,720.71 and 13,050

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Solution

The fourth proportional to 22,986, 31,720.71 and 13,050 is: 18,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986 : 31,720.71 = 13,050 : x
  2. Step 2: Convert to fraction form
    22,986/31,720.71 = 13,050/x
  3. Step 3: Cross multiply
    22,986x = 31,720.71 × 13,050
  4. Step 4: Simplify right side
    22,986x = 413,955,265.50
  5. Step 5: Solve for x
    x = 413,955,265.50/22,986
  6. Step 6: Final answer
    x = 18,009.02

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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.