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Finding the Fourth Proportional to 14,314.78, 21,464.82 and 5,992.51

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Solution

The fourth proportional to 14,314.78, 21,464.82 and 5,992.51 is: 8,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.78 : 21,464.82 = 5,992.51 : x
  2. Step 2: Convert to fraction form
    14,314.78/21,464.82 = 5,992.51/x
  3. Step 3: Cross multiply
    14,314.78x = 21,464.82 × 5,992.51
  4. Step 4: Simplify right side
    14,314.78x = 128,628,148.50
  5. Step 5: Solve for x
    x = 128,628,148.50/14,314.78
  6. Step 6: Final answer
    x = 8,985.69

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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.