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Finding the Fourth Proportional to 15,638.39, 21,580.98 and 8,564.81

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Solution

The fourth proportional to 15,638.39, 21,580.98 and 8,564.81 is: 11,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.39 : 21,580.98 = 8,564.81 : x
  2. Step 2: Convert to fraction form
    15,638.39/21,580.98 = 8,564.81/x
  3. Step 3: Cross multiply
    15,638.39x = 21,580.98 × 8,564.81
  4. Step 4: Simplify right side
    15,638.39x = 184,836,842.58
  5. Step 5: Solve for x
    x = 184,836,842.58/15,638.39
  6. Step 6: Final answer
    x = 11,819.43

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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.