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Finding the Fourth Proportional to 22,274.64, 33,411.96 and 9,954

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Solution

The fourth proportional to 22,274.64, 33,411.96 and 9,954 is: 14,931

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.64 : 33,411.96 = 9,954 : x
  2. Step 2: Convert to fraction form
    22,274.64/33,411.96 = 9,954/x
  3. Step 3: Cross multiply
    22,274.64x = 33,411.96 × 9,954
  4. Step 4: Simplify right side
    22,274.64x = 332,582,649.84
  5. Step 5: Solve for x
    x = 332,582,649.84/22,274.64
  6. Step 6: Final answer
    x = 14,931

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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.