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Finding the Fourth Proportional to 21,527.86, 32,292.40 and 5,945.48

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Solution

The fourth proportional to 21,527.86, 32,292.40 and 5,945.48 is: 8,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.86 : 32,292.40 = 5,945.48 : x
  2. Step 2: Convert to fraction form
    21,527.86/32,292.40 = 5,945.48/x
  3. Step 3: Cross multiply
    21,527.86x = 32,292.40 × 5,945.48
  4. Step 4: Simplify right side
    21,527.86x = 191,993,884.22
  5. Step 5: Solve for x
    x = 191,993,884.22/21,527.86
  6. Step 6: Final answer
    x = 8,918.39

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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.