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Finding the Fourth Proportional to 13,165.98, 18,168.63 and 7,197.63

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Solution

The fourth proportional to 13,165.98, 18,168.63 and 7,197.63 is: 9,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.98 : 18,168.63 = 7,197.63 : x
  2. Step 2: Convert to fraction form
    13,165.98/18,168.63 = 7,197.63/x
  3. Step 3: Cross multiply
    13,165.98x = 18,168.63 × 7,197.63
  4. Step 4: Simplify right side
    13,165.98x = 130,771,076.35
  5. Step 5: Solve for x
    x = 130,771,076.35/13,165.98
  6. Step 6: Final answer
    x = 9,932.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.