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Finding the Fourth Proportional to 15,228, 22,844.88 and 6,908.67

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Solution

The fourth proportional to 15,228, 22,844.88 and 6,908.67 is: 10,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228 : 22,844.88 = 6,908.67 : x
  2. Step 2: Convert to fraction form
    15,228/22,844.88 = 6,908.67/x
  3. Step 3: Cross multiply
    15,228x = 22,844.88 × 6,908.67
  4. Step 4: Simplify right side
    15,228x = 157,827,737.11
  5. Step 5: Solve for x
    x = 157,827,737.11/15,228
  6. Step 6: Final answer
    x = 10,364.31

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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.