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Finding the Fourth Proportional to 43,564.86, 65,339.42 and 11,544.14

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Solution

The fourth proportional to 43,564.86, 65,339.42 and 11,544.14 is: 17,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,564.86 : 65,339.42 = 11,544.14 : x
  2. Step 2: Convert to fraction form
    43,564.86/65,339.42 = 11,544.14/x
  3. Step 3: Cross multiply
    43,564.86x = 65,339.42 × 11,544.14
  4. Step 4: Simplify right side
    43,564.86x = 754,287,412.00
  5. Step 5: Solve for x
    x = 754,287,412.00/43,564.86
  6. Step 6: Final answer
    x = 17,314.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.