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Finding the Fourth Proportional to 24,309.80, 33,546.30 and 13,700.06

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Solution

The fourth proportional to 24,309.80, 33,546.30 and 13,700.06 is: 18,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.80 : 33,546.30 = 13,700.06 : x
  2. Step 2: Convert to fraction form
    24,309.80/33,546.30 = 13,700.06/x
  3. Step 3: Cross multiply
    24,309.80x = 33,546.30 × 13,700.06
  4. Step 4: Simplify right side
    24,309.80x = 459,586,322.78
  5. Step 5: Solve for x
    x = 459,586,322.78/24,309.80
  6. Step 6: Final answer
    x = 18,905.39

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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.