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Finding the Fourth Proportional to 13,941.60, 19,239 and 9,217.68

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Solution

The fourth proportional to 13,941.60, 19,239 and 9,217.68 is: 12,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,941.60 : 19,239 = 9,217.68 : x
  2. Step 2: Convert to fraction form
    13,941.60/19,239 = 9,217.68/x
  3. Step 3: Cross multiply
    13,941.60x = 19,239 × 9,217.68
  4. Step 4: Simplify right side
    13,941.60x = 177,338,945.52
  5. Step 5: Solve for x
    x = 177,338,945.52/13,941.60
  6. Step 6: Final answer
    x = 12,720.13

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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.