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Finding the Fourth Proportional to 13,970.72, 19,282.20 and 8,664.32

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Solution

The fourth proportional to 13,970.72, 19,282.20 and 8,664.32 is: 11,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.72 : 19,282.20 = 8,664.32 : x
  2. Step 2: Convert to fraction form
    13,970.72/19,282.20 = 8,664.32/x
  3. Step 3: Cross multiply
    13,970.72x = 19,282.20 × 8,664.32
  4. Step 4: Simplify right side
    13,970.72x = 167,067,151.10
  5. Step 5: Solve for x
    x = 167,067,151.10/13,970.72
  6. Step 6: Final answer
    x = 11,958.38

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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.