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Finding the Fourth Proportional to 17,686.98, 24,408 and 9,729.36

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Solution

The fourth proportional to 17,686.98, 24,408 and 9,729.36 is: 13,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.98 : 24,408 = 9,729.36 : x
  2. Step 2: Convert to fraction form
    17,686.98/24,408 = 9,729.36/x
  3. Step 3: Cross multiply
    17,686.98x = 24,408 × 9,729.36
  4. Step 4: Simplify right side
    17,686.98x = 237,474,218.88
  5. Step 5: Solve for x
    x = 237,474,218.88/17,686.98
  6. Step 6: Final answer
    x = 13,426.50

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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.