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Finding the Fourth Proportional to 14,656, 20,225.28 and 8,032

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Solution

The fourth proportional to 14,656, 20,225.28 and 8,032 is: 11,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656 : 20,225.28 = 8,032 : x
  2. Step 2: Convert to fraction form
    14,656/20,225.28 = 8,032/x
  3. Step 3: Cross multiply
    14,656x = 20,225.28 × 8,032
  4. Step 4: Simplify right side
    14,656x = 162,449,448.96
  5. Step 5: Solve for x
    x = 162,449,448.96/14,656
  6. Step 6: Final answer
    x = 11,084.16

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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.