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Finding the Fourth Proportional to 22,914, 31,616.52 and 13,483.60

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Solution

The fourth proportional to 22,914, 31,616.52 and 13,483.60 is: 18,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,914 : 31,616.52 = 13,483.60 : x
  2. Step 2: Convert to fraction form
    22,914/31,616.52 = 13,483.60/x
  3. Step 3: Cross multiply
    22,914x = 31,616.52 × 13,483.60
  4. Step 4: Simplify right side
    22,914x = 426,304,509.07
  5. Step 5: Solve for x
    x = 426,304,509.07/22,914
  6. Step 6: Final answer
    x = 18,604.54

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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.