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Finding the Fourth Proportional to 14,612.75, 20,165.60 and 7,988.75

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Solution

The fourth proportional to 14,612.75, 20,165.60 and 7,988.75 is: 11,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.75 : 20,165.60 = 7,988.75 : x
  2. Step 2: Convert to fraction form
    14,612.75/20,165.60 = 7,988.75/x
  3. Step 3: Cross multiply
    14,612.75x = 20,165.60 × 7,988.75
  4. Step 4: Simplify right side
    14,612.75x = 161,097,937
  5. Step 5: Solve for x
    x = 161,097,937/14,612.75
  6. Step 6: Final answer
    x = 11,024.48

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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.