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Finding the Fourth Proportional to 14,878.77, 22,334.54 and 8,645.82

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Solution

The fourth proportional to 14,878.77, 22,334.54 and 8,645.82 is: 12,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.77 : 22,334.54 = 8,645.82 : x
  2. Step 2: Convert to fraction form
    14,878.77/22,334.54 = 8,645.82/x
  3. Step 3: Cross multiply
    14,878.77x = 22,334.54 × 8,645.82
  4. Step 4: Simplify right side
    14,878.77x = 193,100,412.62
  5. Step 5: Solve for x
    x = 193,100,412.62/14,878.77
  6. Step 6: Final answer
    x = 12,978.25

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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.