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Finding the Fourth Proportional to 25,142.84, 37,656.85 and 12,004.44

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Solution

The fourth proportional to 25,142.84, 37,656.85 and 12,004.44 is: 17,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.84 : 37,656.85 = 12,004.44 : x
  2. Step 2: Convert to fraction form
    25,142.84/37,656.85 = 12,004.44/x
  3. Step 3: Cross multiply
    25,142.84x = 37,656.85 × 12,004.44
  4. Step 4: Simplify right side
    25,142.84x = 452,049,247.70
  5. Step 5: Solve for x
    x = 452,049,247.70/25,142.84
  6. Step 6: Final answer
    x = 17,979.24

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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.