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Finding the Fourth Proportional to 15,638.47, 21,581.45 and 8,564.83

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Solution

The fourth proportional to 15,638.47, 21,581.45 and 8,564.83 is: 11,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.47 : 21,581.45 = 8,564.83 : x
  2. Step 2: Convert to fraction form
    15,638.47/21,581.45 = 8,564.83/x
  3. Step 3: Cross multiply
    15,638.47x = 21,581.45 × 8,564.83
  4. Step 4: Simplify right side
    15,638.47x = 184,841,407.58
  5. Step 5: Solve for x
    x = 184,841,407.58/15,638.47
  6. Step 6: Final answer
    x = 11,819.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.