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Finding the Fourth Proportional to 21,965.73, 30,312.05 and 12,406

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Solution

The fourth proportional to 21,965.73, 30,312.05 and 12,406 is: 17,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,965.73 : 30,312.05 = 12,406 : x
  2. Step 2: Convert to fraction form
    21,965.73/30,312.05 = 12,406/x
  3. Step 3: Cross multiply
    21,965.73x = 30,312.05 × 12,406
  4. Step 4: Simplify right side
    21,965.73x = 376,051,292.30
  5. Step 5: Solve for x
    x = 376,051,292.30/21,965.73
  6. Step 6: Final answer
    x = 17,119.91

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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.