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Finding the Fourth Proportional to 15,428.16, 21,290.90 and 8,354.61

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Solution

The fourth proportional to 15,428.16, 21,290.90 and 8,354.61 is: 11,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428.16 : 21,290.90 = 8,354.61 : x
  2. Step 2: Convert to fraction form
    15,428.16/21,290.90 = 8,354.61/x
  3. Step 3: Cross multiply
    15,428.16x = 21,290.90 × 8,354.61
  4. Step 4: Simplify right side
    15,428.16x = 177,877,124.28
  5. Step 5: Solve for x
    x = 177,877,124.28/15,428.16
  6. Step 6: Final answer
    x = 11,529.38

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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.