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Finding the Fourth Proportional to 21,678.64, 29,919.78 and 13,182.14

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Solution

The fourth proportional to 21,678.64, 29,919.78 and 13,182.14 is: 18,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.64 : 29,919.78 = 13,182.14 : x
  2. Step 2: Convert to fraction form
    21,678.64/29,919.78 = 13,182.14/x
  3. Step 3: Cross multiply
    21,678.64x = 29,919.78 × 13,182.14
  4. Step 4: Simplify right side
    21,678.64x = 394,406,803.53
  5. Step 5: Solve for x
    x = 394,406,803.53/21,678.64
  6. Step 6: Final answer
    x = 18,193.34

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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.