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Finding the Fourth Proportional to 21,448.76, 29,600.10 and 12,017

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Solution

The fourth proportional to 21,448.76, 29,600.10 and 12,017 is: 16,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,448.76 : 29,600.10 = 12,017 : x
  2. Step 2: Convert to fraction form
    21,448.76/29,600.10 = 12,017/x
  3. Step 3: Cross multiply
    21,448.76x = 29,600.10 × 12,017
  4. Step 4: Simplify right side
    21,448.76x = 355,704,401.70
  5. Step 5: Solve for x
    x = 355,704,401.70/21,448.76
  6. Step 6: Final answer
    x = 16,583.91

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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.