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Finding the Fourth Proportional to 22,578.90, 33,871.50 and 9,428.28

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Solution

The fourth proportional to 22,578.90, 33,871.50 and 9,428.28 is: 14,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.90 : 33,871.50 = 9,428.28 : x
  2. Step 2: Convert to fraction form
    22,578.90/33,871.50 = 9,428.28/x
  3. Step 3: Cross multiply
    22,578.90x = 33,871.50 × 9,428.28
  4. Step 4: Simplify right side
    22,578.90x = 319,349,986.02
  5. Step 5: Solve for x
    x = 319,349,986.02/22,578.90
  6. Step 6: Final answer
    x = 14,143.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.