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Finding the Fourth Proportional to 10,022.58, 15,029.15 and 2,999.88

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Solution

The fourth proportional to 10,022.58, 15,029.15 and 2,999.88 is: 4,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.58 : 15,029.15 = 2,999.88 : x
  2. Step 2: Convert to fraction form
    10,022.58/15,029.15 = 2,999.88/x
  3. Step 3: Cross multiply
    10,022.58x = 15,029.15 × 2,999.88
  4. Step 4: Simplify right side
    10,022.58x = 45,085,631.50
  5. Step 5: Solve for x
    x = 45,085,631.50/10,022.58
  6. Step 6: Final answer
    x = 4,498.41

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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.