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Finding the Fourth Proportional to 15,076.32, 22,628.34 and 7,686.28

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Solution

The fourth proportional to 15,076.32, 22,628.34 and 7,686.28 is: 11,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.32 : 22,628.34 = 7,686.28 : x
  2. Step 2: Convert to fraction form
    15,076.32/22,628.34 = 7,686.28/x
  3. Step 3: Cross multiply
    15,076.32x = 22,628.34 × 7,686.28
  4. Step 4: Simplify right side
    15,076.32x = 173,927,757.18
  5. Step 5: Solve for x
    x = 173,927,757.18/15,076.32
  6. Step 6: Final answer
    x = 11,536.49

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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.