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Finding the Fourth Proportional to 22,354.64, 30,849.80 and 12,284

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Solution

The fourth proportional to 22,354.64, 30,849.80 and 12,284 is: 16,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,354.64 : 30,849.80 = 12,284 : x
  2. Step 2: Convert to fraction form
    22,354.64/30,849.80 = 12,284/x
  3. Step 3: Cross multiply
    22,354.64x = 30,849.80 × 12,284
  4. Step 4: Simplify right side
    22,354.64x = 378,958,943.20
  5. Step 5: Solve for x
    x = 378,958,943.20/22,354.64
  6. Step 6: Final answer
    x = 16,952.14

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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.