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Finding the Fourth Proportional to 15,086.46, 22,629.95 and 5,226.06

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Solution

The fourth proportional to 15,086.46, 22,629.95 and 5,226.06 is: 7,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086.46 : 22,629.95 = 5,226.06 : x
  2. Step 2: Convert to fraction form
    15,086.46/22,629.95 = 5,226.06/x
  3. Step 3: Cross multiply
    15,086.46x = 22,629.95 × 5,226.06
  4. Step 4: Simplify right side
    15,086.46x = 118,265,476.50
  5. Step 5: Solve for x
    x = 118,265,476.50/15,086.46
  6. Step 6: Final answer
    x = 7,839.18

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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.