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Finding the Fourth Proportional to 21,589.93, 32,386.20 and 9,097.48

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Solution

The fourth proportional to 21,589.93, 32,386.20 and 9,097.48 is: 13,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,589.93 : 32,386.20 = 9,097.48 : x
  2. Step 2: Convert to fraction form
    21,589.93/32,386.20 = 9,097.48/x
  3. Step 3: Cross multiply
    21,589.93x = 32,386.20 × 9,097.48
  4. Step 4: Simplify right side
    21,589.93x = 294,632,806.78
  5. Step 5: Solve for x
    x = 294,632,806.78/21,589.93
  6. Step 6: Final answer
    x = 13,646.77

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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.