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Finding the Fourth Proportional to 15,288.70, 22,943.94 and 6,969.82

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Solution

The fourth proportional to 15,288.70, 22,943.94 and 6,969.82 is: 10,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,288.70 : 22,943.94 = 6,969.82 : x
  2. Step 2: Convert to fraction form
    15,288.70/22,943.94 = 6,969.82/x
  3. Step 3: Cross multiply
    15,288.70x = 22,943.94 × 6,969.82
  4. Step 4: Simplify right side
    15,288.70x = 159,915,131.89
  5. Step 5: Solve for x
    x = 159,915,131.89/15,288.70
  6. Step 6: Final answer
    x = 10,459.69

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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.