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Finding the Fourth Proportional to 15,106.85, 20,848.38 and 8,392.54

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Solution

The fourth proportional to 15,106.85, 20,848.38 and 8,392.54 is: 11,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.85 : 20,848.38 = 8,392.54 : x
  2. Step 2: Convert to fraction form
    15,106.85/20,848.38 = 8,392.54/x
  3. Step 3: Cross multiply
    15,106.85x = 20,848.38 × 8,392.54
  4. Step 4: Simplify right side
    15,106.85x = 174,970,758.84
  5. Step 5: Solve for x
    x = 174,970,758.84/15,106.85
  6. Step 6: Final answer
    x = 11,582.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.