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Finding the Fourth Proportional to 22,719, 31,354.14 and 12,784.92

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Solution

The fourth proportional to 22,719, 31,354.14 and 12,784.92 is: 17,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,719 : 31,354.14 = 12,784.92 : x
  2. Step 2: Convert to fraction form
    22,719/31,354.14 = 12,784.92/x
  3. Step 3: Cross multiply
    22,719x = 31,354.14 × 12,784.92
  4. Step 4: Simplify right side
    22,719x = 400,860,171.57
  5. Step 5: Solve for x
    x = 400,860,171.57/22,719
  6. Step 6: Final answer
    x = 17,644.27

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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.