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Finding the Fourth Proportional to 13,580.35, 18,741.14 and 7,612.63

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Solution

The fourth proportional to 13,580.35, 18,741.14 and 7,612.63 is: 10,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.35 : 18,741.14 = 7,612.63 : x
  2. Step 2: Convert to fraction form
    13,580.35/18,741.14 = 7,612.63/x
  3. Step 3: Cross multiply
    13,580.35x = 18,741.14 × 7,612.63
  4. Step 4: Simplify right side
    13,580.35x = 142,669,364.60
  5. Step 5: Solve for x
    x = 142,669,364.60/13,580.35
  6. Step 6: Final answer
    x = 10,505.57

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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.