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Finding the Fourth Proportional to 15,522.68, 23,284.08 and 8,129.32

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Solution

The fourth proportional to 15,522.68, 23,284.08 and 8,129.32 is: 12,194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,522.68 : 23,284.08 = 8,129.32 : x
  2. Step 2: Convert to fraction form
    15,522.68/23,284.08 = 8,129.32/x
  3. Step 3: Cross multiply
    15,522.68x = 23,284.08 × 8,129.32
  4. Step 4: Simplify right side
    15,522.68x = 189,283,737.23
  5. Step 5: Solve for x
    x = 189,283,737.23/15,522.68
  6. Step 6: Final answer
    x = 12,194.01

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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.