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Finding the Fourth Proportional to 21,510.96, 32,268.56 and 8,364.40

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Solution

The fourth proportional to 21,510.96, 32,268.56 and 8,364.40 is: 12,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510.96 : 32,268.56 = 8,364.40 : x
  2. Step 2: Convert to fraction form
    21,510.96/32,268.56 = 8,364.40/x
  3. Step 3: Cross multiply
    21,510.96x = 32,268.56 × 8,364.40
  4. Step 4: Simplify right side
    21,510.96x = 269,907,143.26
  5. Step 5: Solve for x
    x = 269,907,143.26/21,510.96
  6. Step 6: Final answer
    x = 12,547.42

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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.