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Finding the Fourth Proportional to 22,986, 31,720.68 and 14,032.08

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Solution

The fourth proportional to 22,986, 31,720.68 and 14,032.08 is: 19,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986 : 31,720.68 = 14,032.08 : x
  2. Step 2: Convert to fraction form
    22,986/31,720.68 = 14,032.08/x
  3. Step 3: Cross multiply
    22,986x = 31,720.68 × 14,032.08
  4. Step 4: Simplify right side
    22,986x = 445,107,119.41
  5. Step 5: Solve for x
    x = 445,107,119.41/22,986
  6. Step 6: Final answer
    x = 19,364.27

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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.