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Finding the Fourth Proportional to 15,313.50, 22,964.30 and 5,952.28

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Solution

The fourth proportional to 15,313.50, 22,964.30 and 5,952.28 is: 8,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,313.50 : 22,964.30 = 5,952.28 : x
  2. Step 2: Convert to fraction form
    15,313.50/22,964.30 = 5,952.28/x
  3. Step 3: Cross multiply
    15,313.50x = 22,964.30 × 5,952.28
  4. Step 4: Simplify right side
    15,313.50x = 136,689,943.60
  5. Step 5: Solve for x
    x = 136,689,943.60/15,313.50
  6. Step 6: Final answer
    x = 8,926.11

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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.