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Finding the Fourth Proportional to 24,595.50, 33,943.38 and 13,986.12

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Solution

The fourth proportional to 24,595.50, 33,943.38 and 13,986.12 is: 19,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,595.50 : 33,943.38 = 13,986.12 : x
  2. Step 2: Convert to fraction form
    24,595.50/33,943.38 = 13,986.12/x
  3. Step 3: Cross multiply
    24,595.50x = 33,943.38 × 13,986.12
  4. Step 4: Simplify right side
    24,595.50x = 474,736,185.89
  5. Step 5: Solve for x
    x = 474,736,185.89/24,595.50
  6. Step 6: Final answer
    x = 19,301.75

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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.