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Finding the Fourth Proportional to 22,620, 31,218.48 and 12,684

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Solution

The fourth proportional to 22,620, 31,218.48 and 12,684 is: 17,505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,620 : 31,218.48 = 12,684 : x
  2. Step 2: Convert to fraction form
    22,620/31,218.48 = 12,684/x
  3. Step 3: Cross multiply
    22,620x = 31,218.48 × 12,684
  4. Step 4: Simplify right side
    22,620x = 395,975,200.32
  5. Step 5: Solve for x
    x = 395,975,200.32/22,620
  6. Step 6: Final answer
    x = 17,505.53

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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.