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Finding the Fourth Proportional to 15,002.97, 22,457.21 and 10,295.46

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Solution

The fourth proportional to 15,002.97, 22,457.21 and 10,295.46 is: 15,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,002.97 : 22,457.21 = 10,295.46 : x
  2. Step 2: Convert to fraction form
    15,002.97/22,457.21 = 10,295.46/x
  3. Step 3: Cross multiply
    15,002.97x = 22,457.21 × 10,295.46
  4. Step 4: Simplify right side
    15,002.97x = 231,207,143.50
  5. Step 5: Solve for x
    x = 231,207,143.50/15,002.97
  6. Step 6: Final answer
    x = 15,410.76

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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.