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Finding the Fourth Proportional to 13,580.68, 18,741.17 and 7,612.34

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Solution

The fourth proportional to 13,580.68, 18,741.17 and 7,612.34 is: 10,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.68 : 18,741.17 = 7,612.34 : x
  2. Step 2: Convert to fraction form
    13,580.68/18,741.17 = 7,612.34/x
  3. Step 3: Cross multiply
    13,580.68x = 18,741.17 × 7,612.34
  4. Step 4: Simplify right side
    13,580.68x = 142,664,158.04
  5. Step 5: Solve for x
    x = 142,664,158.04/13,580.68
  6. Step 6: Final answer
    x = 10,504.93

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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.