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Finding the Fourth Proportional to 13,022.64, 17,973 and 7,434

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Solution

The fourth proportional to 13,022.64, 17,973 and 7,434 is: 10,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.64 : 17,973 = 7,434 : x
  2. Step 2: Convert to fraction form
    13,022.64/17,973 = 7,434/x
  3. Step 3: Cross multiply
    13,022.64x = 17,973 × 7,434
  4. Step 4: Simplify right side
    13,022.64x = 133,611,282
  5. Step 5: Solve for x
    x = 133,611,282/13,022.64
  6. Step 6: Final answer
    x = 10,259.92

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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.