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Finding the Fourth Proportional to 13,274.64, 18,325.92 and 12,011.28

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Solution

The fourth proportional to 13,274.64, 18,325.92 and 12,011.28 is: 16,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.64 : 18,325.92 = 12,011.28 : x
  2. Step 2: Convert to fraction form
    13,274.64/18,325.92 = 12,011.28/x
  3. Step 3: Cross multiply
    13,274.64x = 18,325.92 × 12,011.28
  4. Step 4: Simplify right side
    13,274.64x = 220,117,756.38
  5. Step 5: Solve for x
    x = 220,117,756.38/13,274.64
  6. Step 6: Final answer
    x = 16,581.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.