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Finding the Fourth Proportional to 23,084.68, 34,599.84 and 13,228.60

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Solution

The fourth proportional to 23,084.68, 34,599.84 and 13,228.60 is: 19,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,084.68 : 34,599.84 = 13,228.60 : x
  2. Step 2: Convert to fraction form
    23,084.68/34,599.84 = 13,228.60/x
  3. Step 3: Cross multiply
    23,084.68x = 34,599.84 × 13,228.60
  4. Step 4: Simplify right side
    23,084.68x = 457,707,443.42
  5. Step 5: Solve for x
    x = 457,707,443.42/23,084.68
  6. Step 6: Final answer
    x = 19,827.32

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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.