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Finding the Fourth Proportional to 21,878.96, 30,193.68 and 12,448.16

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Solution

The fourth proportional to 21,878.96, 30,193.68 and 12,448.16 is: 17,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.96 : 30,193.68 = 12,448.16 : x
  2. Step 2: Convert to fraction form
    21,878.96/30,193.68 = 12,448.16/x
  3. Step 3: Cross multiply
    21,878.96x = 30,193.68 × 12,448.16
  4. Step 4: Simplify right side
    21,878.96x = 375,855,759.63
  5. Step 5: Solve for x
    x = 375,855,759.63/21,878.96
  6. Step 6: Final answer
    x = 17,178.87

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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.