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Finding the Fourth Proportional to 17,730.88, 26,599.20 and 5,416

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Solution

The fourth proportional to 17,730.88, 26,599.20 and 5,416 is: 8,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.88 : 26,599.20 = 5,416 : x
  2. Step 2: Convert to fraction form
    17,730.88/26,599.20 = 5,416/x
  3. Step 3: Cross multiply
    17,730.88x = 26,599.20 × 5,416
  4. Step 4: Simplify right side
    17,730.88x = 144,061,267.20
  5. Step 5: Solve for x
    x = 144,061,267.20/17,730.88
  6. Step 6: Final answer
    x = 8,124.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.