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Finding the Fourth Proportional to 13,011.64, 17,956.07 and 7,043.36

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Solution

The fourth proportional to 13,011.64, 17,956.07 and 7,043.36 is: 9,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.64 : 17,956.07 = 7,043.36 : x
  2. Step 2: Convert to fraction form
    13,011.64/17,956.07 = 7,043.36/x
  3. Step 3: Cross multiply
    13,011.64x = 17,956.07 × 7,043.36
  4. Step 4: Simplify right side
    13,011.64x = 126,471,060.36
  5. Step 5: Solve for x
    x = 126,471,060.36/13,011.64
  6. Step 6: Final answer
    x = 9,719.84

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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.