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Finding the Fourth Proportional to 15,274.18, 22,913.99 and 7,876.64

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Solution

The fourth proportional to 15,274.18, 22,913.99 and 7,876.64 is: 11,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,274.18 : 22,913.99 = 7,876.64 : x
  2. Step 2: Convert to fraction form
    15,274.18/22,913.99 = 7,876.64/x
  3. Step 3: Cross multiply
    15,274.18x = 22,913.99 × 7,876.64
  4. Step 4: Simplify right side
    15,274.18x = 180,485,250.19
  5. Step 5: Solve for x
    x = 180,485,250.19/15,274.18
  6. Step 6: Final answer
    x = 11,816.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.