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Finding the Fourth Proportional to 21,551.90, 29,737.16 and 12,597.67

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Solution

The fourth proportional to 21,551.90, 29,737.16 and 12,597.67 is: 17,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,551.90 : 29,737.16 = 12,597.67 : x
  2. Step 2: Convert to fraction form
    21,551.90/29,737.16 = 12,597.67/x
  3. Step 3: Cross multiply
    21,551.90x = 29,737.16 × 12,597.67
  4. Step 4: Simplify right side
    21,551.90x = 374,618,919.35
  5. Step 5: Solve for x
    x = 374,618,919.35/21,551.90
  6. Step 6: Final answer
    x = 17,382.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.