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Finding the Fourth Proportional to 21,594.81, 32,396.57 and 9,114.84

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Solution

The fourth proportional to 21,594.81, 32,396.57 and 9,114.84 is: 13,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,594.81 : 32,396.57 = 9,114.84 : x
  2. Step 2: Convert to fraction form
    21,594.81/32,396.57 = 9,114.84/x
  3. Step 3: Cross multiply
    21,594.81x = 32,396.57 × 9,114.84
  4. Step 4: Simplify right side
    21,594.81x = 295,289,506.52
  5. Step 5: Solve for x
    x = 295,289,506.52/21,594.81
  6. Step 6: Final answer
    x = 13,674.10

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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.