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Finding the Fourth Proportional to 13,683.60, 18,881.82 and 7,715.52

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Solution

The fourth proportional to 13,683.60, 18,881.82 and 7,715.52 is: 10,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.60 : 18,881.82 = 7,715.52 : x
  2. Step 2: Convert to fraction form
    13,683.60/18,881.82 = 7,715.52/x
  3. Step 3: Cross multiply
    13,683.60x = 18,881.82 × 7,715.52
  4. Step 4: Simplify right side
    13,683.60x = 145,683,059.85
  5. Step 5: Solve for x
    x = 145,683,059.85/13,683.60
  6. Step 6: Final answer
    x = 10,646.54

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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.