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Finding the Fourth Proportional to 21,376, 29,502.12 and 12,990.88

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Solution

The fourth proportional to 21,376, 29,502.12 and 12,990.88 is: 17,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,376 : 29,502.12 = 12,990.88 : x
  2. Step 2: Convert to fraction form
    21,376/29,502.12 = 12,990.88/x
  3. Step 3: Cross multiply
    21,376x = 29,502.12 × 12,990.88
  4. Step 4: Simplify right side
    21,376x = 383,258,500.67
  5. Step 5: Solve for x
    x = 383,258,500.67/21,376
  6. Step 6: Final answer
    x = 17,929.38

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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.