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Finding the Fourth Proportional to 15,214.17, 20,996.64 and 8,842.80

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Solution

The fourth proportional to 15,214.17, 20,996.64 and 8,842.80 is: 12,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214.17 : 20,996.64 = 8,842.80 : x
  2. Step 2: Convert to fraction form
    15,214.17/20,996.64 = 8,842.80/x
  3. Step 3: Cross multiply
    15,214.17x = 20,996.64 × 8,842.80
  4. Step 4: Simplify right side
    15,214.17x = 185,669,088.19
  5. Step 5: Solve for x
    x = 185,669,088.19/15,214.17
  6. Step 6: Final answer
    x = 12,203.69

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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.