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Finding the Fourth Proportional to 14,652.24, 20,217.24 and 8,362.32

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Solution

The fourth proportional to 14,652.24, 20,217.24 and 8,362.32 is: 11,538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.24 : 20,217.24 = 8,362.32 : x
  2. Step 2: Convert to fraction form
    14,652.24/20,217.24 = 8,362.32/x
  3. Step 3: Cross multiply
    14,652.24x = 20,217.24 × 8,362.32
  4. Step 4: Simplify right side
    14,652.24x = 169,063,030.40
  5. Step 5: Solve for x
    x = 169,063,030.40/14,652.24
  6. Step 6: Final answer
    x = 11,538.37

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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.