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Finding the Fourth Proportional to 12,522.72, 18,784.08 and 3,288

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Solution

The fourth proportional to 12,522.72, 18,784.08 and 3,288 is: 4,932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.72 : 18,784.08 = 3,288 : x
  2. Step 2: Convert to fraction form
    12,522.72/18,784.08 = 3,288/x
  3. Step 3: Cross multiply
    12,522.72x = 18,784.08 × 3,288
  4. Step 4: Simplify right side
    12,522.72x = 61,762,055.04
  5. Step 5: Solve for x
    x = 61,762,055.04/12,522.72
  6. Step 6: Final answer
    x = 4,932.00

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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.