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Finding the Fourth Proportional to 15,638.59, 21,580.79 and 8,564.86

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Solution

The fourth proportional to 15,638.59, 21,580.79 and 8,564.86 is: 11,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.59 : 21,580.79 = 8,564.86 : x
  2. Step 2: Convert to fraction form
    15,638.59/21,580.79 = 8,564.86/x
  3. Step 3: Cross multiply
    15,638.59x = 21,580.79 × 8,564.86
  4. Step 4: Simplify right side
    15,638.59x = 184,836,445.04
  5. Step 5: Solve for x
    x = 184,836,445.04/15,638.59
  6. Step 6: Final answer
    x = 11,819.25

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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.