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Finding the Fourth Proportional to 15,699.25, 21,664.38 and 8,528.86

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Solution

The fourth proportional to 15,699.25, 21,664.38 and 8,528.86 is: 11,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,699.25 : 21,664.38 = 8,528.86 : x
  2. Step 2: Convert to fraction form
    15,699.25/21,664.38 = 8,528.86/x
  3. Step 3: Cross multiply
    15,699.25x = 21,664.38 × 8,528.86
  4. Step 4: Simplify right side
    15,699.25x = 184,772,464.01
  5. Step 5: Solve for x
    x = 184,772,464.01/15,699.25
  6. Step 6: Final answer
    x = 11,769.51

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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.